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Question
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 given constant and f(0) = 1, f(2a - x) is equal to
- f(x)
f(x)
f(a) + f(a - x)
f(- x)

Solution

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