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A real valued function f (x) satisfied t...

A real valued function `f (x)` satisfied 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

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The correct Answer is:
D
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