Let f be a function defined by f(x)=(x-5...

Let f be a function defined by `f(x)=(x-5)/(x-3), x != 3, 2 f'(x)` denote the composition of f with itself taken k time i.e. `f^(3)(x)=f(f(f(x)))` then

A

`f^(-2012)(2009) = 2009`

B

`f^(2009) (2010)=(2005)/(2007)`

C

`f^(-2009)(2009)=(1002)/(1003)`

D

`f^(2012)(2012)=2012`

Verified by Experts

The correct Answer is:

D

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