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Suppose $f$ is a function such that $f(f(x))=x$ for all $x$ in the domain of $f$, and suppose that $f(0)=2003$. Find all roots of the equation $f(x)=0$.

 Apr 25, 2020
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The solutions are x = 0, x = 2003, and x = 1/2003.

 Apr 25, 2020

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