A real valued function f(x) satisfies th...

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

A

`f(-x)`

B

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

C

`f(x)`

D

`f(x)`

Verified by Experts

The correct Answer is:

D

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