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 \(f(20)\).
f(20) = 11.
f(x) = x^3 + 1
f(20) = 8001
