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Black Book Advanced Problems in MathematicsMathematicsFunctions

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) = 1, f(2a - x) is equal to :

Options

  1. A-f(x)
  2. Bf(x)
  3. Cf(a) + f(a - x)
  4. Df(-x)

Correct answer

A. -f(x)

Step-by-step solution

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