Question

Find the inverse of the function.
f(x) = x ^3 + 8

Answer 1

Answer:

The inverse of the function is

$\sqrt[3]{x - 8}$

Step-by-step explanation:

To find the inverse of the function we equate f(x) to y

That's

f(x) = y

So we have

$y = {x}^{3} + 8$

Next interchange the terms x becomes y and y becomes x

That's

$x = {y}^{3} + 8$

Next make y the subject

That's

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

Hope this helps you.