A real valued function $f(x)$ satisfies the function equation $f(x - y) = f(x)f(y) - f(a - x)f(a + y)$ where a is a given constant and $f(0) = 1$, $f(2a - x)$ is equal to

  • [AIEEE 2005]
  • A

    $f(a) + f(a - x)$

  • B

    $f( - x)$

  • C

    $ - f(x)$

  • D

    $f(x)$

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