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A ral valued functin f (x) satisfies the...

A ral valued functin `f (x)` satisfies the functional equation `f (x-y)=f(x)f(y)- f(a-x) f(x+y)` where 'a' is a 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)`

Text Solution

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The correct Answer is:
D
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