Question

What is the inverse function of `f(x) =x^3-2`?

Answer 1

Inverse function of `f(x)` is `f^(-1)(x) = root 3 (x+2)`

Explanation:

`f(x) = x^3-2 or y= x^3-2`0

`x= y^3-2` [Switch over of x and y]

`y^3= x+2 or y = root 3 (x+2)` [Solve for y]

`:. f^(-1)(x) = root 3 (x+2)`

Inverse function of `f(x)` is `f^(-1)(x) = root 3 (x+2)` [Ans]