If is a polynomial satisfying and

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If f(x)f(x) is a polynomial satisfying f(x)f(1x)=f(x)+f(1x)f(x)f\left(\frac{1}{x}\right)=f(x)+f\left(\frac{1}{x}\right) and f(3)=28f(3)=28, then f(4)=f(4)= (a) 64 (b) 65 (c) 66 (d) 63

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