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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), f(2a-x) =

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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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 2
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