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If f(x) + 2f(1 - x) =x^2 + 2, forall x i...

If f(x) + 2f(1 - x) =`x^2 + 2, forall x in R`, then f(x) is

A

a) `x^2 - 2`

B

b) 1

C

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

D

d) 1/2 (x - 2)

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The correct Answer is:
C
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PATHFINDER-FUNCTIONS-QUESTION BANK
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  3. If f(x) + 2f(1 - x) =x^2 + 2, forall x in R, then f(x) is

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  11. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

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  19. If f(x + y) = f(x) - f(y),forall x, y in R, then show that f(3) = f(1)

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