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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]

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