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Consider the function f(x)=(x-1)/(x+1) ...

Consider the function `f(x)=(x-1)/(x+1)`
What is f(f(x)) equal to ?

A

x

B

`-x`

C

`-(1)/(x)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Given `f(x)=(x-1)/(x+1)`
`impliesf[f(x)]=(f(x)-1)/(f(x)+1)`
`impliesf[f(x)]=-(1)/(x)" "[:'x=-{(f(x)+1)/(-f(x)-1)}]`
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