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If f (x) is a polynomial function satisf...

If f (x) is a polynomial function satisfying `f(x).f((1)/(x))=f(x)+f((1)/(x))` and f(4) =257 then f(3) =

A

28

B

65

C

82

D

244

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • f(x) is a contiuous function satisfying f(x)*f((1)/(x))=f(x)+f((1)/(x)) and f(1) gt 0 , then underset(x to 1) (Lt)f(x) is equal to

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  • If f(x).f((1)/(x))=f(x)+f((1)/(x)) , and f(3)=82, then int(f(x))/(x^(2)+1)dx=

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