Question

Find the inverse of the function.

Answer 1

f(x) = $4\sqrt[3]{x} - 8$

Let's replace f(x) with y

y = $4\sqrt[3]{x} - 8$

Switch the x and y

x = $4\sqrt[3]{y} - 8$

Now, let's solve for y. Start off by adding 8 to both sides.

x + 8 = $4\sqrt[3]{y}$

Divide both sides by 4

$\frac{x}{4} + 2$ = $\sqrt[3]{y}$

Take each side by the power of 3

$(\frac{x}{4} + 2)^{3}$ = y

Now, let's replace y with $f^{-1}(x)$

$f^{-1}(x)$ = $(\frac{x}{4} + 2)^{3}$ is the inverse

Answer 2

Answer:

x3 over 64+3x^ over 8+3x+8

Step-by-step explanation: