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

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Answer 1 · 2018-03-11T11:59:53

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

$f(x) = x^3-2 or y= x^3-2$ 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]

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