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$If f (x) is a polynomical function such that f (x) \cdot f (1 / x) = f (x) + f (1 / x) and f (2) = 9 then the value of f (4) =$

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Correct option is C

f(x)=xn+1⇒f(2)=2n+1⇒9=2n+1⇒23=2n⇒n=3 Clearly, f(x)=x3+1f(4)=(4)3+1=65

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If f(x) is a polynomical function such that f(x)⋅f(1/x)=f(x)+f(1/x) and f(2)=9 then the value of f(4)=

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Ready to Test Your Skills?

free study material

$If f (x) is a polynomical function such that f (x) \cdot f (1 / x) = f (x) + f (1 / x) and f (2) = 9 then the value of f (4) =$