Question

If f(x) + 2f (1 – x) = x² + 2 ∀ x ∈ R, then f(x) =

Options :

  1. x² – 2

  2. 1

  3. 1/3 (x – 2)²

  4. None of these

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Answer :

1/3 (x – 2)²

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