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

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)`

Text Solution

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The correct Answer is:
B
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