find the inverse of the function

Find The Inverse Of The Function

Answers

Answer 1

If h⁻¹(x) is the inverse of h(x), then by definition of inverse function,

h(h⁻¹(x)) = x

Given that h(x) = 6∛(2x + 5) - 1, we have

h(h⁻¹(x)) = 6∛(2 h⁻¹(x) + 5) - 1 = x

Solve for h⁻¹(x) :

6∛(2 h⁻¹(x) + 5) - 1 = x

6∛(2 h⁻¹(x) + 5) = x + 1

∛(2 h⁻¹(x) + 5) = (x + 1)/6

[∛(2 h⁻¹(x) + 5)]³ = [(x + 1)/6]³

2 h⁻¹(x) + 5 = (x + 1)³/216

2 h⁻¹(x) = (x + 1)³/216 - 5

h⁻¹(x) = (x + 1)³/432 - 5/2


Related Questions

WILL GIVE BRAINLIEST TO THE FIRST PERSON !!! p(a)=0.60 p(b)=0.30 and p(a and b)=0.15. What is p (A or B)?


A. 0.15

B. 0.18

C. 0.75

D. 0.90

Answers

Answer:

C. 0.75

Step-by-step explanation:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.60 + 0.30 - 0.15

P(A or B) = 0.75

700-90+3 HELP me ASAP

Answers

700-90 is 610. 610+3 is 61.

Please solve this one

Answers

Answer:

Step-by-step explanation:

Is B the expression for the perimeter of the rectangle, in inches?

Answers

Answer:

A, C, D

Step-by-step explanation:

P = 2L + 2W

L = 5W - 2

P = 2(5W - 2) + 2W

P = 10W - 4 + 2W

P = 12W - 4

Answer choices A, C, and D = 12W - 4

I hope this helps!

since w equal the width, the equation for the length is 5 times the width minus 2

that can be represented as 5w-2

the equation for perimeter is 2l+2w=p, where l is the length, w is the width, and p is the perimeter

so, plug in the equation we found into the length part of the perimeter equation and leave 2w the same

2(5w-2)+2w

that makes A correct

however, when you distribute the 2, the equation becomes 10w-4+2w

combine like terms to get 12w-4

that would make d also correct


in conclusion, a and d are the correct answers

hope that helps!!

4t- 2=14 what is t
Could you please show your work

Answers

Answer:

t=4

Step-by-step explanation:

Let's solve your equation step-by-step.

4t−2=14

Step 1: Add 2 to both sides.

4t−2+2=14+2

4t=16

Step 2: Divide both sides by 4.

4t

4

=

16

4

t=4

Answer:

t=4

Write an equation: Ten times the number of balloons is 120

Answers

Answer:

let b = amount of balloons; 10b = 120

Step-by-step explanation:

to do this you should first have a let equation

let b = balloons

then because 10 times the number of balloons is 120 you multiply them

it looks like this

10b = 120

Does the budgeted amount cover the actual amount for expenses,savings,and emergencies? A. No it’s short $207.00 B.No it’s short $227.00 C.Yes,there’s a surplus of $207.00 D yes there’s is a surplus of 227.00

Answers

Considering the differences in the budgeted and used amoints, it is found that the correct option is given by:

A. No it’s short $207.00.

In the graph, what are the differences between the budgeted and used amounts?

In utilities, there was a surplus of $20.In groceries, the budget was $150 short.In clothing, the budget was $75 short.In gas, the budget was $2 short.

Hence, the difference between the budgeted amount and the used amount is given by:

20 - (150 + 75 + 2) = -207.

The budget was $207 short, hence option A is correct.

A similar problem, in which an amount is studied, is given at https://brainly.com/question/25537936

Liam is designing a patio and fountain for his backyard. The fountain will cover 50 square feet. The remaining space will be cover with tiles If one tile covers 2.25 square feet, how many tiles will Liam need?

Answers

Answer:41 tiles

Step-by-step explanation: this is assumption from other work of the 10x14.225 picture

Which fraction is the smallest?
A. 3/4
B. 3/5
C. 3/7
D. 3/9

Answers

Answer:

D. 3/9

Step-by-step explanation:

Attached below is a picture with each fraction illustrated.

Find the slope of the line passing through (2, -8) and (-4, -8)

Answers

Answer:

0

Step-by-step explanation:

Given

(2, -8) → (x₁, y₁)(-4, -8) → (x₂, y₂)

Formula

Slope (m) = Δy/Δx = y₂ - y₁ / x₂ - x₁

Solving

m = -8 + 8 / -4 - 2m = 0
(2,-8)(-4,-8)

Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{-8+8}{-4-2}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{0}{-6}[/tex]

[tex]\\ \rm\dashrightarrow m=0[/tex]

Line segment AB was dilated by a scale factor of 12. What are the coordinates for the image A' and B' in the image?

Answers

Answer:A(24,48) B(72,24)

work out the value of 21+2x when x = -2

Answers

Hey there!


21 + 2x

= 21 + 2(-2)

= 21 - 4

= 17


Therefore, your answer is: 17


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

The surface area of a cube is 216 cm3. What is the volume of the same cube?

Answers

I want to say 6 cm because it says “cm3” and you do 6x3 = 216.

Someone solve number 9 and 10 please just give answer

Answers

Answer:

9.) 37.55102% or 37.6 depending on how deep into the question you are required to go.

10.) not sure. someone else will have to help you

Step-by-step explanation:

Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan off in 3 years. what will her monthly payment be? a. $99.34 b. $105.32 c. $117.93 d. $156.60

Answers

Susan's monthly payment will be $117.93.

We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.

P=3500

r=30%

t=3

What is the amortization formula?

[tex]A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}[/tex]

Where A is the payment,

P= principal,

r =the annual interest rate

t is the number of years.

use the given value in the formula we get

[tex]A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }[/tex]

A=117.9288

A= 117.93

Susan's monthly payment will be $117.93.

To learn more about the monthly payment visit:

https://brainly.com/question/25109150

Answer: C $117.93

Step-by-step explanation:

Which figure below is a translation of this diagram?

Answers

B is a translation, which is moving.

A is a rotation, and C is a reflection over the x-axis.

What is the value of c to complete the perfect trinomial? r^2+34r+c

Answers

Answer:

c = 289

Step-by-step explanation:

The discriminant is equal to zero. a = 1, b=34

[tex]b^{2} -4ac=0\\(34)^{2} -4(1)c=0[/tex]

[tex]1156-4c=0[/tex]

[tex]-4c=-1156[/tex]

[tex]c=\frac{-1156}{-4} =289[/tex]

Hope this helps

HURRY 50 points solve the system using linear combination. show all work.{ 9x + 4y = 28 {2x + 4y = 0

Answers

Answer:

y = -2

x = 4

Explanation:

9x + 4y = 282x + 4y = 0

Make "x" subject in equation 2

2x + 4y = 02x = -4yx = -2y

Insert this in equation 1

9(-2y) + 4y = 28-18y + 4y = 28-14y = 28y = -2

Find for x

x = -2yx = -2(-2)x = 4

What is 0.02x0.02x0.020.02?

Answers

Answer:

not possable to answer.

Step-by-step explanation:

Answer:

0.000008 eight millionths is the most accurate answer I came to.

[tex]0.02 * 0.02 = 0.0004 * 0.02 = 0.000008[/tex]

Can someone help me on this answer

Answers

10p

hope it really helps...!!!

Answer:

10p

Step-by-step explanation:

3 +7 =10

p+p=p

3p+7p=10p

Help pls ………:.::::::::::…………

Answers

just add all the sides together: 4+2+3+3+1+1 = x
Calculations in square feet.

(4x2) + 1 = 9

Annabelle measured her bedroom as 11 ft times 13 ft, which is 143 square feet. she wants to change the units to square inches. which statements should she consider when converting? check all that apply. there are 12 inches in every foot. the length and width will change by a factor of 1.2 times 10 superscript 1. the length and width will change by a factor of 1.2 times 10 superscript 0. the area will change by a factor of (1.2 times 10 superscript 1 baseline) (1.2 times 10 superscript 1 baseline) = 1.44 times 10 superscript 2 baseline = 144, since area is length times width. the area will change by a factor of 2 (1.2 times 10 superscript 1 baseline) = (2 times 10 superscript 1 baseline) (1.2 times 10 superscript 1 baseline) = 2.4 times 10 superscript 2 baseline = 240, since both the length and width increase by that factor.

Answers

There are 12 inches in every foot and the area will be increased by 144 factors.

We know that the feet and inches are the units of length. One foot is 12 inches.

The length and the breadth are given as 11 feet and 13 feet.

The area of the bedroom is 143 square feet.

We know that 1ft = 12 in

So, The length would become 11 feet to 132 inches.

The breadth would become 13 feet to 156 inches.

What is the formula for the rectangle?

The area of the rectangle = length × Width

Therefore, the area of the rectangle = 132 ×  156

Since area of the rectangle= 20592 in .sq

The area of the bedroom increased by 144 factors.

To learn more about unit conversion visit:

https://brainly.com/question/13016491

Answer:

There are 12 inches in every foot.

The length and width will increase by a factor of 12.

The area will increase by a factor of 144, since area is length times width.

Step-by-step explanation:

branlist ?

correct on edge 2022

A spinner is divided into five colored sections that are not of equal size: red,
blue, green, yellow, and purple. The spinner is spun several times, and the
results are recorded below:
Spinner Results
Color Frequency
7
16
Red
Blue
Green
Yellow
Purple
19
8
3
Based on these results, express the probability that the next spin will land on
yellow as a percent to the nearest whole number.

Answers

Answer:

15.09%

Step-by-step explanation:

Sum of frequencies = 53

Probability = 8

53

=0.1509

Expressing as a percentage

>> 15.09%

Kassie and Luke timed each other during swimming practice. The speed at which swims is represented by the equation d = 1. 22t, where d is the number of meters she swims in t seconds. The speed at which Luke swims is represented in the table.

Answers

This means that a graph of Kassie speed given by the function d = 1.22t would have a slope of 1.22 m/s.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the number of meters she swims in t seconds. Hence:

d = 1.22t

This means that a graph of Kassie speed would have a slope of 1.22 m/s.

Find out more on equation at: https://brainly.com/question/1214333


500 Rounded to the ones place. (whole number)


Answers

Answer:

500

Remember the rounding rule for the ones place...

0 to 4? Round down or keep the same.

5 to 9? Round up.

__________________________________________________________

Questions?

Ask in comments.

It would stay 500! Hope this helped

A state seal, which is round, hangs in the capitol building. It has a radius of 3 feet. What is the seal's area? Use 3.14 for ​.

Answers

Step-by-step explanation:

just apply the formula you can find immediately on the internet.

that is much faster than putting such a calculation question in here.

the area of a circle is

pi×r²

with r being the radius.

so, in our case we have

pi × 3² = pi × 9 = 28.27433388... ft²

when using 3.14 for pi we get 28.26 ft²

Which of these numbers is divisible by 14

Answers

Answer:

where are the numbers

Step-by-step explanation:

What is the measure of z?

Answers

Brainly is backed by Naspers, Kulczyk Investments, General Catalyst Partners, Point Nine Capital, Runa Capital, and Learn Capital. In 2009, Lukasz Haluch, Michał Borkowski, and Tomasz Kraus co-founded the company in Kraków, Malopolskie, Poland and is available in 35 countries.

Rounded to nearest whole number

Answers

Answer:

2.6

Step-by-step explanation:

Divide 8.1 by 2.5

2.6

2.6 rounded to the nearest whole number is 3

3 is your answer


Adults can burn 210
calories per hour riding a
bike. If your bike ride was
21 hours, how many
calories would 8 adults
burn?

Answers

Answer:

210 x 21 = 4410 calories burned for 1 adult

4410 x 8 = 35280 calories burned for 8 adults

Step-by-step explanation:

First you figure out how much calories are burned total for 1 adult on a 21 hour bike ride with the information that you know of how much adults burn.

Next you multiply your answer by 8 to figure out the total of calories burned for all 8.

Step-by-step explanation:

35280 calories would be burnt.

I think it will help you.

210×21=4410

Now,

4410×8= 35280.

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