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JEE Math Practice 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

  1. A.- f(x)
  2. B.f(x)
  3. C.f(a) + f(a - x)
  4. D.f(- x)

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