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A real valued functio f(x) satisfies the...

A real valued functio f(x) satisfies the functional equation
f(x-y)=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(x)`

C

f(-x)

D

f(a)+f(a-x)

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B
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