What is the inverse of the function g(x) = x^3/8 + 16 ?

Answers

Answer 1

Answer:

[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• let f(x) be m:

[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• make x the subject of the function:

[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]

• therefore:

[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]


Related Questions

Evaluate.
(3⋅7)+(5⋅9)
Enter your answer in the box.

Answers

Answer:

21+45 and in total is 66 if u add them up

please mark me brainless

Step-by-step explanation:

Hello!

Answer:

66

Step-by-step explanation:

Hope this helps!

Hey, how are you?



I am trying to do 100 points for you guys just saying how you are daily!

Answers

Answer:

My day has been pretty okay!!

Step-by-step explanation:

Thank you for asking!!

Answer:

My day is going alright. Though, I am a bit stressed out since I am currently studying for an upcoming test.

What number would you get if you multiply the's numbers
1,2,3,4,5,6,7,8,9,10 ?​

Answers

you get 3,628,800 :))))))

a. After Pam bought the party supplies, what is the balance of her bank account compared with her
starting balance? Show your work.

Answers

Answer:

What is the original Balance, and what is the price of the party supplies?

Write in words. Use commas and hyphens.

38,492

Answers

Thirty-eight thousand, four hundred and ninety-two

Simply write out the number as you would say it out loud!

1. What is 85% of 620?
1147
527
729
465

Answers

Answer:

465 I think is the answer

527 is your answer.

% / 100 = Part / Whole

replace the given values:

85 / 100 = Part / 620

Cross multiply:

= 85 x 620 = 100 x Part

= 52700 = 100 x Part

Now, divide by 100 and get the answer:

Part = 52700 / 100 = 527

Find the slope of the line through each pair of points
(10, -14), (11,11)

Answers

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

y2=11

y1=-14

x2=11

x1=10

[tex]\frac{11-(-14)}{11-10}[/tex]

[tex]\frac{11+14}{1}[/tex]

25

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Solve:-4(-6x - 3) =12

Answers

Answer:

Step-by-step explanat ion:

<=>2 4x+12  = 12

<=>24 x = 0

<=>x  =0

Which one is the answer!

Answers

the third option, or option C.

pls help me this is due tonight by 8 40 ​

Answers

Answer:

a. gh³

b. xy³

Step-by-step explanation:

a. [tex]g^{3-2}[/tex][tex]h^{5-2}[/tex] = gh³

b. [tex]x^{3-2} y^{4-1} p^{1-1}[/tex] = xy³

Use the negative exponent rule.

21. You place a mat around a 25 in by 21 inch painting as shown. The mat
is twice as wide at the left and right of the painting as it is at the top an
bottom of the painting. The area of the mat is 714 square iinches (note:
the area of the border). How wide is the mat at the left and right of the
painting? At the top and bottom of the painting? (P.264 #66)

Answers

Using a quadratic equation according to the area of the rectangular mat, it is found that:

At the top and bottom of the painting, the width is 0.654 inches.At the left and right of the painting, the width is of 1.308 inches.

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

In this problem:

The length of the figure is of [tex]l = 25 + 4x[/tex].The width of the figure is of [tex]w = 21 + 2x[/tex].Area of 714 square inches, thus:

[tex]lw = 714[/tex]

[tex](25 + 4x)(21 + 2x) = 714[/tex]

[tex]8x^2 + 134x + 525 = 714[/tex]

[tex]8x^2 + 134x - 189 = 0[/tex]

Which is a quadratic equation with [tex]a = 8, b = 134, c = -189[/tex].

The, to find the widths of the mat, we have to first find the value of x, solving the quadratic equation.

[tex]\Delta = 134^2 - 4(8)(-189) = 24004 [/tex]

[tex]x_{1} = \frac{-134 + \sqrt{24004}}{2(8)} = 0.654[/tex]

[tex]x_{2} = \frac{-134 - \sqrt{24004}}{2(8)} = -9.03[/tex]  

We are interest in the positive value of x, so x = 0.654.

At the top and bottom of the painting, the width is of 0.654 inches.

[tex]2(0.654) = 1.308[/tex]

At the left and right of the painting, the width is of 1.308 inches.

A similar problem is given at https://brainly.com/question/14099239

If a car travels 200km in 2.5 hours, how far would it travel in 6 hours at the same rate of speed?

Answers

Answer: 500km I believe

Step-by-step explanation:

hope this helps :)

Answer:

I think that the answer is 850

Step-by-step explanation:

find out how many km traveled 0.5 hours, then multiply by 12

For a corporation that has 2,500,000 shares of stock, how may shares would be needed to be a majority stock holder ? *

Answers

Step-by-step explanation:

a majority starts at half of the total mass + 1.

so,

2,500,000 / 2 = 1,250,000

and + 1 means then the majority would be

1,250,001 shares.

Without calculating determine wether the product is positive or negative

Answers

Answer:

Positive because a negative times a negative is a positive

Step-by-step explanation:

The mean weight of five complete computer stations is 163 pounds. The weights of four of the computer stations are 155 pounds, 160 pounds , 165 pounds and 171 pounds what is the weight of the fifth computer

Answers

Answer:

answer : 164 pounds

Step-by-step explanation:

total weight of five computers

163 x 5 = 815 pounds

the weight of the fifth one = total

weight - other four

815-155-160-165-171=164 pounds

hope it helps :)

A large national park has an area of 91,417 acres. What is its area in hectares

Answers

Answer:

36995.1474

Step-by-step explanation:

multiply the area value by 2.471

what percent of 235 is 148.05

Answers

Answer:

63% is the correct answer hope this helps

What is the value of g(2)

Answers

Answer:

Its value is 9.8 m/s2

Answer:

9.8 m/s2

Step-by-step explanation:

The height of a model rocket, H(t), is a function of the time since it was
launched, t.
Time (seconds)
What is the domain of H(t)?
A. t <100
B. T>0
C. 0 D. 0

Answers

A because if I use my common sense that the only thing that comes to my mind as an answer.

The domain of function H(t) is 0 ≤ t ≤ 20.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that the value of t is from 0 to 20 seconds.

Now,

The value of t can be written as an inequality:

0 ≤ t ≤ 20

Thus,

The domain of function H(t) is 0 ≤ t ≤ 20.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

2/5x11 in simplest form

Answers

Answer:

25 is already in the simplest form. It can be written as 0.4 in decimal form (rounded to 6 decimal places).

so its in its simplest form

Answer:

4 2/5 or 4.4

Step-by-step explanation:

2/5 x 11

22/5

Make sure to turn it into a mixed number.

One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 floors. Jaime estimates the height of the dollhouse by computing 2 times 3. How does her estimate compare to the actual height of the dollhouse?

Answer Options:

-Her estimate is greater than the actual height because both factors were rounded up.
-Her estimate is less than the actual height because both factors were rounded up.
-Her estimate is greater than the actual height because both factors were rounded down.
-Her estimate is less than the actual height because both factors were rounded down.

Answers

Answer:

Her estimate is greater than the actual height because both factors were rounded up.

Step-by-step explanation:

Hope this helps :)

Answer:

A. Her estimate is greater than the actual height because both factors were rounded up.

Step-by-step explanation:

Hope this helped! :)

What is the difference of 9.2 and 0.03

Answers

Answer:

9.17

Step-by-step explanation:

9.20-0.03=9.17

Answer:

9.17

Step-by-step explanation:

9.20

-0.03

_____

9. 17

Multiply 2 digit numbers with area models. 26x74

Answers

Answer:

26 x 74 is 1924

Step-by-step explanation:

Is just lining the numbers up.

Please help!!!!!!!!???????????

Answers

The correct graph is the one on the bottom right corner.

Good luck !! :)

Solve for w.

–1.01 = 1.4(w + 2) − 2.41

Answers

w=0

Step-by-step explanation:

-1.01=1.4(w+2)-2.41

-1.01=1.4w+2.8-2.41

-1.01=1.4w+0.39

-1.01-0.39=1.4w

+1.4=1.4w

1.4/1.4=w

0=w

So,the answer is w=O

I hope it is very helpful

DONT CLICK ON THIS ok lol

Answers

She can only buy 2 whole packs.

Acording to the graph, 2 whole pakcs will cost $22, and 3 whole packs will cost $33. She can't afford 3 whole packs as we can see as she only has $30.50.

Let me know if you have any questions, thanks!

Answer:

u told me not to so i did it (its might be B)

Step-by-step explanation:

so i do the did the and the make than the marh and rhe barf and the ract and the rekt

12 + 4[5% - 4(x + 5)] = 7 - 5x

Answers

Answer:

https://brainly.com/question/24983242 help

Step-by-step explanation:

12 + 4[5% - 4(x + 5)] = 7 - 5x

12 + 4•(5% - 4•(x + 5)) = 7 - 5•x

11x = -55

x = -5

Answer:

[tex]x = - \frac{34}{5} [/tex]

Step-by-step explanation:

12 + 4 (5% - 4(x + 5)) = 7 - 5x

12 + 4 (5/100 - 4x - 20) = 7 - 5x

12 + 4 (-399/20 - 4x) = 7 - 5x

12 - 399/5 - 16x = 7 - 5x

-399/5 - 16x = 7 - 5x

-16x + 5x = 7 + 339/5

-11x = 374/5

x = -34/5

Polynomials

Multiply (x - 5)(3x – 2)

Answers

9514 1404 393

Answer:

  3x² -17x +10

Step-by-step explanation:

Use the distributive property and collect terms.

  (x -5)(3x -2) = x(3x -2) -5(3x -2)

  = (3x² -2x) +(-15x +10)

  = 3x² -17x +10

35 more than twice the number is 65. Find the number.

Answers

Answer: 15

Step-by-step explanation:

2x + 35 = 65

2x = 30

x = 15

-5/2x-19/10

Plss Answer this in fraction form, and simplified, I can't figure it out!

Answers

Answer:

= -25x-19/10

Step-by-step explanation:

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