If f (x) + 2 f (1 – x) = x 2 + 2, x ∈ R, then f (x) is given as:

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If f (x) + 2 f (1 – x) = x2 + 2, \(\forall\) x ∈ R, then f (x) is given as:
  1. \(\frac{(x-1)^{2}}{3}\)
  2. \(\frac{(x-2)^{2}}{3}\)
  3. x2 – 1
  4. x2 – 2

Answer

(B) (x-2)^ 2 3

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