lf f:R+→R+ is a polynomial function satisfying the functional equation ffx=6x-fx then f(17) is equal to

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-51

-34

answer is B.

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Detailed Solution

fx must be a linear function. Let fx=ax+b. Thenfax+b=6x-ax-bor a2=ax+b+b=6x-ax-bor a2=6-a and ab+b=-bi.e., a=2 or -3∴ b=0∴ fx=2x or 3x∴ f17=34 or -51

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