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A polynomial function \(f\) satisfies the equation \(f(x)\cdot f(\frac{1}{x})=f(x)+f(\frac{1}{x})\) and \(f(10)=1001\) Find the value of \(f(20)\).

 Sep 16, 2022
 #1
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f(20) = 11.

 Sep 17, 2022
 #2
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f(x) = x^3 + 1

f(20)  = 8001

 Sep 18, 2022

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