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If f(x)=(x-1)/(x+1) , then f(f(a x)) in ...

If `f(x)=(x-1)/(x+1)` , then `f(f(a x))` in terms of `f(x)` is equal to `(f(x)-1)/(a(f(x)-1))` (b) `(f(x)+1)/(a(f(x)-1))` `(f(x)-1)/(a(f(x)+1))` (d) `(f(x)+1)/(a(f(x)+1))`

A

`(f(x)+a)/(1+af(x))`

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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