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1987 OIM Problems/Problem 1

Revision as of 12:26, 13 December 2023 by Tomasdiaz (talk | contribs)

Problem

Find all $f(x)$ such that: \[\left[ f(x) \right]^2f\left( \frac{1-x}{1+x} \right)=64x\] for $x \ne 0$, $x \ne 1$, $x \ne -1$,

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

https://www.oma.org.ar/enunciados/ibe2.htm

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