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If f(x) satisfies the relation 2f(x)+f(1...

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

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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