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A real valued function f (x) satisfie...

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(x)`

B

`-f(x)`

C

`f(-x)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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