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If f (x) satisfies the relation : 2 f(x)...

If f (x) satisfies the relation : `2 f(x) +f (1 -x) = x^2` for all real x, then f (x) is :

A

`(x^2+2x-1)/6`

B

`(x^2+2x-1)/3`

C

`(x^2+4x-1)/3`

D

`(x^2-3x+1)/6`.

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