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

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 constant and f(0) = 1 . Then f(2a-x) is equal to

A

`-f(x)`

B

f(x)

C

f(a) +f(a-x)

D

f(-x)

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The correct Answer is:
A
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