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If f(x) + 2 f(1 – x) = x^2 +1,AA x in R,...

If `f(x) + 2 f(1 – x) = x^2 +1,AA x in R`, then the range of f is :

A

`(-infty, 1//3]`

B

`[-1//3, 1//3]`

C

`[-1//3, infty)`

D

`[1//3, infty)`

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The correct Answer is:
C
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