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Let f :R -{(3)/(2)}to R, f (x) = (3x+5)/...

Let `f :R -{(3)/(2)}to R, f (x) = (3x+5)/(2x-3).Let f _(1) (x)=f (x), f_(n) (x)=f (f _(n-1) (x)))` for ` pige 2, n in N,` then `f _(2008) (x)+ f _(2009) (x)=`

A

`(2x ^(2) +5)/(2x-3)`

B

`(x^(2) +5)/(2x-3)`

C

`(2x ^(2) -5)/(2x-3)`

D

`(x ^(2) -5)/(2x-3)`

Text Solution

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The correct Answer is:
A
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