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 a given constant and f(0)=1, f(2a-x) is equal to:

A

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

B

`f(-x)`

C

`-f(x)`

D

`f(x)`

Verified by Experts

The correct Answer is:

C

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