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If f(x)=x^(3)-4, then the inverse of f=...

If `f(x)=x^(3)-4`, then the inverse of f=

A

`-x^(3)+4`

B

`root(3)(x+4)`

C

`root(3)(x-4)`

D

`(1)/(x^(3)-4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `y = f(x)=x^(3)-4` . To get the inverse , interchange x and y and solve for y . `x=y^(3)-4. y=root(3)(x+4)`.
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