How do you prove inverse?

Answers

Answer 1

To prove the inverse :

In the equation expressing the function, swap out f(x) for y.Swap out x and y. To put it another way, swap out every x for a y and vice versa.Solve for y.Change y to [tex]f^{-1}[/tex] (x).

You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another. The functions are inverses if you get x; otherwise, they are not.

To learn more about inverse here:

https://brainly.com/question/2541698

#SPJ4


Related Questions

Which equation shows a way to find 3075/15. A 30/15+75=2+5 B 30/15x75=2x5 C 3000/15+75=200+5 D 3000/15x75=200x5. I need the answer quick please its for a test!!!!!!! HURRY!

Answers

Answer:

C. 3,000÷15+75÷15=200+5

Step-by-step explanation:

I got this because 3075 ÷ 15 = 205. That whole equation is equal to 200+5. 200+5=205.

Hope it's correct cause I have the same question on a quiz !

Answer:30/15+75=2+5 B 30/15x75=2x5

Step-by-step explanation: Because i am a teacher so i know the answer

QUESTION 3
A woman weighs 145 pounds. She gains 12 pounds one
month and 6 pounds the next month. What is her new
weight?
148 pounds
151 pounds
P
O 157 pounds
+
O 163 pounds

Answers

Answer:

163 pounds

Step-by-step explanation:

you would use 145 and add 12 to it for the first month, then add 6 for the next month, which will give you a new weight of 163 pounds

This is an addition problem. You start with 145 pounds and add 12 pounds. That gets you 157. Add the 6 pounds she then gained afterwards. 157 + 6 = 163

A line passes through the points (–6,5) and (8,–2). What is its equation in point-slope form?

Answers

Answer:

y - (-2 ) = 1\2 ( x- 8)

Step-by-step explanation:

The point slope form equation is  y-y₁=m(x-x₁)

( -6 ,   5 )      (  8 ,  -2  )

( x  ,  y )       (x1 ,  y1 )

Firstly we need to find the slope

                                                                     y1  -  y              -2  -  5

we can find the slope by this equation : -------------      =  --------------

                                                                    x1  -   x                 8  - (-6)

The slope is 1\2

Identify an irrational number between 7 and 8

Answers

We know that the square root of 2 is irrational. We also know its greater than 1, but less than 2, so lets add 6 to the square root of 2, which we know is greater than 7, but less than 8

You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use

Answers

On solving the provided question, we can say that by  linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

the linear equation that is formed is  

10p +7 (10 - p) = 80

10p + 70 - 7p = 80

3p = 70

p = 10/3

10/3 pounds of peanuts and how many pounds of raisins should you use

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ4

7. Mai and Tyler are selling items to earn money for their elementary school. The school
earns w dollars for every wreath sold and p dollars for every potted plant sold. Mai
sells 14 wreaths and 3 potted plants and the school earns $70.50. Tyler sells 10
wreaths and 7 potted plants and the school earns $62.50.
This situation is represented by this system of equations:
[ 14w + 3p = 70.50
10w+7p = 62.50
Explain why it makes sense in this situation that the solution of this system is also a
solution to 4w + (-4p) = 8.00.

Answers

On solving the provided question we can say that - her in the equation  14w + 3p = 70.50 and 10w+7p = 62.50 , w = 12; p = 18

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

[tex]14w + 3p = 70.50 \\[/tex]

10w+7p = 62.50 ,

[tex]w = 12\\[/tex]

p = 18

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

what is the distance of the cookie?

Answers

A., 10 inches.

Hope this helps!

How do you prove irrational rational and irrational?

Answers

Rational and Irrational numbers can be depicted as the number that can be communicated as p/q are reasonable and which can't be communicated are called Unreasonable Numbers.

Rational Numbers are characterized as a number that can be addressed as p/q where q isn't equivalent to zero.

We can likewise, say that the part where the denominator and the numerator are whole numbers and the denominator isn't equivalent to zero is called Reasonable Numbers.

For Instance: 2/3, 3/9, addresses  Rational numbers.

Irrational Numbers are characterized as genuine numbers that can't be communicated as a proportion of whole numbers.

For Instance: [tex]\sqrt{2}[/tex], [tex]\sqrt{3}[/tex] addresses an Irrational number.

Learn more about rational and irrational:

https://brainly.com/question/28537216

#SPJ4

Find the values of x and y.
-2x+y=-35
L
to
||
2x°
(y + 10)°
yᵒ

Answers

Answer:

x = 60 , y = 85

Step-by-step explanation:

assuming the figure is a trapezoid

• each lower base angle is supplementary to the upper base angle on the same side.

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

and

y + y + 10 = 180

2y + 10 = 180 ( subtract 10 from both sides )

2y = 170 ( divide both sides by 2 )

y = 85

What is the solution to the system of equations below x y 7 and x 2y 11?

Answers

The solution to the system of equations is x = 3 and y = 4.

this question is related to system of equations ,

the equations are,

x + y = 7         .......[1]

x + 2y = 11  

x= 11 - 2y

now, place the value of x in equation 1,

(11 - 2y) + y = 7

11 - 2y +y = 7

11 - y = 7

- y = 7 - 11

- y = - 4

y = 4

now to find the value of x, place the value of y in equation 1

x + 4 = 7

x = 7 - 4

x = 3.

so, the value of x and y is 3 and 4.

Learn  more about system of equations here :-

https://brainly.com/question/12895249

#SPJ4

Determine which of the two acute angles has a cosine of 3/4. Eliminate the other acute angle.

Answers

Answer:

Both <y and <w have a cosine of 3/4

Find the product (8×+9y) (8×-9y)

Answers

Answer:64x^2-81y^2

Step-by-step explanation:

difference of the squares

please give a step by step explanation please

Answers

The radius of a sphere whose surface area is  324*pi cm² is:

R = 9 cm.

What is the radius of the sphere in the image?

We know that the surface of a sphere of radius R is given by:

S = 4*pi*R^2

Where pi = 3.14

Here we know that a sphere has a surface of 324*pi cm², then we can write the equation:

S =  324*pi cm² = 4*pi*R^2

We can divide both sides by pi, so we get:

324 cm^2 = 4*R^2

Now we can solve that equation for R, we will get:

R^2=  (324 cm^2)/4 = 81cm^2

R = √(81 cm^2)

R = 9cm

The radius of the sphere is 9cm.

Learn more about spheres by reading:

https://brainly.com/question/10171109

#SPJ1

what is the answer to −9−(−4)=

Answers

The answer is -5.

Explanation:

-9 - (-4)
-9 + 4
-5

hey! please help i’ll give brainliest

Answers

Answer:

all of these

Step-by-step explanation:

Answer:

All of these

Step-by-step explanation:

Am = ex. I am playing tennis

Is = ex. She is playing tennis

Are = ex. We are playing tennis

Hope this helps :)

How do you find height of a triangle when base is given to you?

Answers

The height of a triangle can be found using the triangle area formula, which states that the area of a triangle is equal to (1/2) * base * height. Therefore, the height of a triangle can be found by rearranging the formula to height = (2 * area) / base.

To find the height of a triangle when the base is given, first use the triangle area formula, which states that the area of a triangle is equal to (1/2) * base * height. Next, rearrange the formula to height = (2 * area) / base so that the height can be found by dividing the area by the given base. Once the area is known, the height can be found by plugging the area and base into the rearranged formula. For example, if the base of a triangle is 8 and the area is 12, then the height of the triangle can be found by dividing 12 by 8, which is equal to 1.5. Therefore, the height of the triangle is 1.5.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Is a 45 45 triangle isosceles?

Answers

Yes, a 45 45 triangle is an isosceles triangle, meaning that two of its sides are equal in length.

A 45 45 triangle is a triangle in which two of its angles are 45 degrees. This type of triangle is also known as an isosceles triangle because it has two sides of equal length. To determine whether a triangle is isosceles, we need to measure the lengths of its sides. In a 45 45 triangle, both sides are equal in length as the angles are equal. Therefore, a 45 45 triangle is an isosceles triangle. The triangle also has two acute angles (less than 90 degrees) and one obtuse angle (greater than 90 degrees). This type of triangle is a special type of triangle and is often used in geometry and trigonometry.

Learn more about isosceles triangle here

https://brainly.com/question/2456591

#SPJ4

thank you guys for helping me but i still need help -^-

Answers

Answer:

x = 25

Step-by-step explanation:

(4x - 17) + 36 + 61 = 180

(4x - 17) + 97 = 180

4x - 17 = 83

4x = 100

x = 25

Have a nice day!

Answer:

x = 25

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4x - 17 + 61 + 36 = 180

4x + 80 = 180 ( subtract 80 from both sides )

4x = 100 ( divide both sides by 4 )

x = 25

Isaac's father is 49 years old. He is four years older than three times Isaac's age. How old is Isaac

Answers

If Isaac's father is four years older than three times of Isaac's age and the age of father is 49 years old. So, Isaac age will be 15 years old.

How old is Isaac?

According to online myth, there is a mathematical equation that regulates the lower bound for a possible dating partner's socially acceptable age: half your age plus 7, or, in mathematical words, if x is your age, the bottom barrier is [tex]f(x) = x/2 + 7[/tex].

Consider Isaac is L

Let us suppose L is x years old.

3 times the age of L = 3x

3 times L’s age plus 4 years = 3x + 4

Furthermore, L’s father’s age is 49 years older than L’s age.

Therefore,

[tex](3x + 4) = (49) (49)\\(3x + 4) -4 = (49) – 4\\3x = 45\\3x/3 = 45/3\\X = 15[/tex]

L’s age is 15 years since we expected L’s age = x (and x=15).

To learn more about Age calculation to refer:

brainly.com/question/15054777

#SPJ4

Help me please and thank you

Answers

C is correct
30+68= 98

What is the surface area? in Square Inches

Answers

Answer:

24

Step-by-step explanation:

Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m

Answers

Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m. Select the double number line that correctly labels is option 'A'.

What do you meant by hiking?

From brief half-day programs to extensive itineraries lasting more than 20 days, the activity's duration varies. The majority of the time, it is an activity that accepts groups of various sizes.

A long stroll, especially one undertaken for the sake of recreation or exercise; see also hike; an increase, particularly in quantity or amount. While it is entirely up to each hiker to assign whatever classification they see fit to their experience, I have found that the vast majority of hikers fall into one of the three most common categories: peak-bagging, long-distance hiking, or day hiking.

Because it is a constant slope and Cory hikes 3 km his elevation is 120 m.

slpoe = 120m/3km = 40m/1km

So, Cory's elevation after he hikes 1 km, his elevation is 40 m.

Cory's elevation after he hikes 2 km, his elevation is (2*40 m) 80 m.

Cory's elevation after he hikes 4 km, his elevation is (4*40 m) 160 m.

To learn more about hiking visit:

brainly.com/question/26614004

#SPJ4

The complete question is:

Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 km his elevation is 120m. Select the double number line that correctly labels Cory's elevation after he hikes 1, 2, and 4 km. Choose 1 answer:

Consider the division of 8y2 - 12y + 4 by 4y.

What are the values of a and b?

=a+b++

O a = 2y and b = 3

O a= { and b = -3y

O a= 2y and b = -3

O a = ? and b = 3y

Mark this and return

Save and Exit

Next

Sub

Answers

By solving the given Algebraic expression, the correct answer is Option (C) ,a = 2y and b = –.

What is an Algebraic Expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

There are different components of an algebraic expression. Let us have a look at the image given below in order to understand the concept of Variables, Constants, Terms, and Coefficients of any algebraic expression.

Assume that  8y2 - 12y + 4  has  terms with a=8y² , b=-12y, c=4

Now, to divide 8y2 - 12y + 4  by the monomial (single term) 4y,

The easy way is divide each term of the dividend by the monomial:

8y2 - 12y + 4  /4y

=(8y²-12y+4)/4y

=(8y²/4y)-(12y/4y)+(4/4y)

=2y-3+1/y

After performing the division we get that now a = 2y and  b = –3

We can conclude that the correct answer is a = 2y and b = –3

To know more about Algebraic Expression  refer to:

brainly.com/question/2164351

#SPJ4

Please help ASAP this is for a final test
A line which is perpendicular to this line would have a slope of ___.

Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.

Answers

Answer: I'm sorry bro i don't know

Step-by-step explanation:

-2/1 is the answer. Look at the points. It goes 2 down (-2) and 1 to the right (1). Slope is rise/run. So the answer is -2/1 or -2

Find the area of the rhombus. AB=7 ft. Round to the nearest tenth.

Answers

Answer:

7 x 7 = 49

49 divided by 2 ( x 1/2) = 24.5

Formula:

D1 x D2 x 1/2

In this case D1 and D2 are both 7

and 1/2 is just 1/2 so multiply them.

What is the solution set for 10 - 4x < -22?

Answers

Answer:

x>8

Step-by-step explanation:

make the equation equal to -22 and get 8 and see if if it is less than or greater than

HELP ASAP PLEASE
i dont underatand this ​

Answers

Answer:

IST x-2= 2

Step-by-step explanation:

Answer: -2x-3 = x

Step-by-step explanation:

You have 2 -x's and 3 -1's in the first balance thing. In the second, you have 1 x.

If you put those together into an equation, you get -2x-3 = x (since in this balance, the two sides are equal).

Then you solve the equation to find x:

-2x-3 = x

-3 = 3x

x = -1

What is the value of x

Answers

Answer:

12

Step-by-step explanation:

Tell algebra to stop looking for his x an just watch her 24/7

Answer:

value of x is 12

hope it helps.

a salesman goes to Murano and buys three dozen vases paying €16.25 each. During transport if they break me 9. How much did each remaining vase sell for if he earned €360

Answers

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

what is unitary method ?

The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)

given

A salesperson purchases three dozen vases (12 * 3 = 36),

at a cost of 36 * €16.25 (or $585),

with seventeen remaining.

The cost of selling each remaining vase is € 585 / 17

= € 34.41.

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Sue has 20 biscuits in a tin.
There are: 12 plain biscuits
5 chocolate biscuits
3 currant biscuits
Sue takes two random biscuits from the tin.
Work out the probability that they are not the same type.

Answers

Answer:

The probability that the two biscuits were not the same type is 58.4%.

How much is the probability that the two biscuits were not the same type?

The probability that they are different is the opposite of the probability that they are the same.

The probability that they are the same is:

⇒ P(plain, plain) = (12/20) (11/19) = 132 / 380

⇒ P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380

⇒ P(currant, currant) = (3/20) (2/19) = 6 / 380

⇒ P(same) = 132/380 + 20/380 + 6/380

⇒ P(same) = 158/380

⇒ P(same) = 79/190

Therefore, the probability that they are different is:

⇒ P(different) = 1 − 79/190

⇒ P(different) = 111/190

⇒ P(different) ≈ 58.4%

What does probability mean?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Other Questions
Give two different conditions under which long chain hydrocarbons may be cracked. What happened in late April and early May of 1945?AFrance and Italy were liberated from Germany's control.BHitler first rose to power.CGermany invaded Poland, Norway, Belgium, the Netherlands and France.DGermany surrendered, and Hitler committed su1c1d3.ILL GIVE BRAINLY The perimeter of a rectangle is 96cm its shortest side has a length of 5cm state the length of the longest side 30 pointsCan I get kept back for failing Horticulture? Yes No?I currently have a 36 11. Which statement suggests causation?a) When you are at the beach, you getwet.b) When you study for a test, yourclassmate studies too.c) When you carry an umbrella to school,it rains.d) When you don't brush your teeth, youget cavities. Select the correct answer. Which is true according to the law of conservation of energy? A. In a closed system, the total amount of energy in the universe keeps on changing. B. The supply of energy is limited, so it is essential to conserve it. C. In a closed system, energy can be created and destroyed. D. In a closed system, energy cannot be used faster than it is created. E. In a closed system, the total energy always remains constant. picture shown. what is the volume of the rectangular pyramid? On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C is dilated to create triangle A prime A C prime. The points of A B C are (negative 3, 3), (negative 1, 1), and (negative 3, 1). The points of A prime A C prime are (negative 9, 9), (negative 3, 3), and (negative 9, 3).The dilation DO,3 (x, y) (3x, 3y) is performed on the pre-image ABC to make a similar triangle. Which statements are true? Check all that apply.A corresponds to A'.A'AC' corresponds to B.CB corresponds to C'A.Segment A'A is parallel to segment C'C.ABC ~ A'AC'. what mass of O2(g) is required to completely react with 25.0g of Fe(s)?3Fe(s) + 2O2(g) Fe3O4(s) (Balanced) Pilgrim Corporation acquires all of the stock of Sonic Company for $5,000,000 in cash. Sonic's net assets had a book value of $3,000,000 at the date of acquisition. The book values of Sonic's assets and liabilities approximate fair values, except that Sonic reports inventories at $900,000 more than fair value and plant assets at $2,000,000 more than fair value. In addition, Sonic has unrecorded identifiable intangible assets with an estimated fair value of $5,000,000, appropriately capitalized according to GAAP. When recording its investment in Sonic, Pilgrim reports:________.A. $0. No gain or goodwill resulting from the acquisitionB.$100,000 Gain resulting from the acquisitionC. $1,000,000 Goodwill resulting from the acquisitionD. $3,900,000 Gain resulting from the acquisitionE. $3,900,000 Goodwill resulting from the acquisition need help asap! will give brainlist!!!! Determine the velocity of point A on the rim of the gear at the instant shown. Sociologist C. Wright Mills emphasized that social structure lies at the root of private troubles, and that what people may define as private troubles may be more accurately described as public issues, if these problems affect large number. What personal troubles have you encountered that may also be public issues? Write at least 1 paragraph that explains which of the 3 Branches of Government has the most power according to the Constitution. I NEED HELP ASAP!!!ITS DUE TODAY cupcake shop were going to judge. Neal had always had a knack for cooking and baking, and he was pretty sure he could win this contest. He'd perfected his classic vanilla cupcake recipe.On the way to biology class, he asked his friend Liza what she was baking for the contest."I'm going to make my grandmother's red velvet cupcakes, topped with cream cheese frosting and cinnamon," Liza replied.Neal groaned. Liza's cupcakes sounded so much more creative. Suddenly, his simple vanilla cupcakes seemed lame.Determined to impress the judges, Neal changed his cupcake recipe. He added a marshmallow filling to each cupcake. To liven up his buttercream frosting, he added purple food dye, lavender oil, and licorice extract. The cupcakes still looked boring, so he garnished them with gold dust, rice paper birds, and edible flower petals.In spite of all these adventurous touches, his cupcakes turned out lopsided and goopy, and the frosting tasted strongly like licorice. But he was sure the cupcake judges would look highly on how fancy his cupcakes were.Neal could hardly wait for the contest results to be posted after school. But when he saw the list on the wall, his mouth fell open. He didn't win any prizes, not even as a runner-up. And first place had gone to one of his classmates, Drew Feldman. The description by Drew's cupcakes read, "Classic Vanilla."Which of the following best describes the main theme or lesson of the story? This system provides nutrients for cells in all tissues and organ systems. A nervous B. muscular C. DigestiveD. respiratory NEED HELP ASAPIF ITS NOT AN ACTUAL ANSWER, DONT ANSWER PLEASE! How did Justice Hugo Black argue that internment was justifiable, despite also expressing concern?He said not all Japanese Americans were disloyal.O He said the camps were nice.O He said it was justified by war.O He said it would save democracy. Neil put on a blindfold and picked 72 jelly beans from a jar.Is this sample of the jelly beans in the jar likely to be representative? Yes or no? The moon phase takes about a year to complete.....True or false?