Question

Find the inverse of the function y=(x-4)^3

Answer 1

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

Explanation:

Here, the given function,

`y=(x-4)^3`

For finding the inverse,

Step 1 : switch x and y,

`x = (y-4)^3`

Step 2 : isolate y,

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

`\implies y =\sqrt[3]{x} + 4`

Which is the required inverse of the given function.