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Which of the following functions is the inverse of itself? (a) `f(x)=(1-x)/(1+x)` (b) `f(x)=5^(logx)` (c) `f(x)=2^(x(x-1))` (d) None of these

A

`f(x)=(1-x)/(1+x)`

B

`f(x)=5^(log x)`

C

`f(x)=2^(x(x-1))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
By checking for different functions, we find that for
`f(x)=(1-x)/(1+x),f^(-1)(x)=f(x)`.
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