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1987 OIM Problems/Problem 1

Revision as of 11:45, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Find all <math>f(x)</math> such that: <cmath>\left[ f(x) \right]^2f\left( \frac{1-x}{1+x} \right)=64x</cmath> for <math>x \ne 0</math>, <math>x \ne 1</math>, <ma...")
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Problem

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

Solution

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