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A real valued function f(x) stisfies the...

A real valued function f(x) stisfies the functional relation `f(x-y)=f(x)f(y)-f(a-x)f(a+y)` where a is a given constant and f(0)=1. Then, `f(2a-x)` is equal to -

A

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

B

`f(-x)`

C

`-f(x)`

D

`f(x)`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
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