Question

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

Answer 1

The inverse of the function is

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

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.