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Polynomial problem

Algebra Level 4

$f(x)$ is a polynomial satisfying the condition below.

$f(x)f \left(\dfrac{1}{x}\right) = f(x) + f\left(\dfrac{1}{x}\right)$

If $f(10) = 1001$ , find $f(20)$ .

8001 8000 None of the others 7001

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by Danish Ahmed

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