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

1 Answer
Mar 11, 2018

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]