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If f(x)=(a x^2+b)^3, then find the funct...

If `f(x)=(a x^2+b)^3,` then find the function `g` such that `f(g(x))=g(f(x))dot`

A

`g(x)=((b-x^(1//3))/(a))^(1//2)`

B

`g(x)=(1)/((ax^(2)+b)^(3))`

C

`g(x)=(ax^(2)+b)^(1//3)`

D

`g(x)=((x^(1//3)-b)/(a))^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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