Q.

If f(x) is a polynomial satisfying f(x)f(1/x)=f(x)+f(1/x) and f(3)=28, then f(4) is equal to

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a

63

b

65

c

17

d

none of these

answer is B.

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Detailed Solution

f(x)=xn+1 or     f(3)=3n+1=28 or     3n=27∴    n=3 or     f(4)=43+1=65
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