If g is the inverse of a function f and ...

If g is the inverse of a function f and `f^'(x)=1/(1+x^5)` then g(x) is equal to (1) `1""+x^5` (2) `5x^4` (3) `1/(1+{g(x)}^5)` (4) `1+{g(x)}^5`

A

`1/(1+ [phi(x)]^(5))`

B

`1/(1+[f(x)]^5)`

C

`1 + [phi (x)]^(5)`

D

`1 + f(x)`

Verified by Experts

The correct Answer is:

C

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