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If `f(x)` is a polynomial satisfying `f(x)f(1/x)=f(x)+f(1/x)a n df(3)=28 ,t h e nf(4)` is equal to 63 (b) 65 (c) 17 (d) none of these

A

63

B

65

C

17

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`f(x)=x^(n)+1`
` or f(3)=3^(n)+1=28`
`or 3^(n)=27`
` :. n=3`
`or f(4)=4^(3)+1=65`
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