1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olin [163]
2 years ago
14

For the function f(x)

Mathematics
1 answer:
WITCHER [35]2 years ago
4 0

Given:

The function is

f(x)=\dfrac{8\sqrt[3]{x}-8}{9}

To find:

The inverse function f^{-1}(x).

Solution:

We have,

f(x)=\dfrac{8\sqrt[3]{x}-8}{9}

Step 1: Putting f(x)=y, we get

y=\dfrac{8\sqrt[3]{x}-8}{9}

Step 2: Interchange x and y.

x=\dfrac{8\sqrt[3]{y}-8}{9}

Step 3: Isolate variable y.

9x=8\sqrt[3]{y}-8

9x+8=8\sqrt[3]{y}

\dfrac{9x+8}{8}=\sqrt[3]{y}

Taking cube on both sides, we get

\left(\dfrac{9x+8}{8}\right)^3=y

y=\left(\dfrac{9x+8}{8}\right)^3

Step 4: Putting y=f^{-1}(x), we get

f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3

Therefore, the correct option is C.

You might be interested in
I will mark you brainiest if you an answer this
irinina [24]

Answer:

the awnswer is a = 7 + c

Step-by-step explanation:

8 0
3 years ago
How to simplyfy 2x+2x
VladimirAG [237]

Answer:

Your answer is 4x.

Step-by-step explanation:

Add 2+2

Combine your x's (like terms)

then you got 4 from 2+2

Add the leftover x so it makes 4+x then add it will give you 4x.

4 0
2 years ago
Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yell
Talja [164]

Answer:

3 7/8-2 5/8

<u>31</u><u>-</u><u>21</u>

8

=10/8

=1 1/4 more

5 0
2 years ago
Read 2 more answers
Which numbers are​ irrational?
Zepler [3.9K]

Answer:

54  hope this helps

Step-by-step explanation:

5 0
3 years ago
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
kykrilka [37]

Answer:

1/6

..................

6 0
2 years ago
Other questions:
  • using the graph above, explain the meaning of the following coordinate pairs and decide if it belongs to jazmine or kiara
    14·1 answer
  • How do you simpifly algebraic expressions
    13·1 answer
  • Jen and Sarah go to lunch at the green grill. Their meals total $28.00. The tax is 6%. What is the total cost including tax?
    10·1 answer
  • Solve the following systems of 3-variable linear equations.​<br><br><br><br>50 points
    7·1 answer
  • The area of the scale model of a garden is 15 square feet. The scale model is enlarged by a scale factor of 3 to create the actu
    7·2 answers
  • Factor completely 4xy + 9x + 24y + 54.
    13·2 answers
  • X+4 over 6x=1divided by x
    6·1 answer
  • 1) (9,- 4) and (1,8) are thecoordinates of the endpoints of a diameter of a circle. Write the
    6·1 answer
  • A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age
    10·1 answer
  • Find the value of x.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!