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JEE Math Practice Question

Let ƒ(x) = ax (a > 0) be written as ƒ(x) = ƒ1 (x) + ƒ2 (x), where ƒ1 (x) is an even function of ƒ2 (x) is an odd function. Then ƒ1 (x + y) + ƒ1 (x – y) equals

  1. A.2ƒ1 (x)ƒ1 (y)
  2. B.2ƒ1 (x + y)ƒ1 (x – y)
  3. C.2ƒ1 (x)ƒ2 (y)
  4. D.2ƒ1 (x + y)ƒ2 (x – y)

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