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Functional equation.

Source: Netherlands BxMO/EGMO Team Selection Test-2013

May 9, 2017
functional equationDetermine all functionsTSTalgebra

Problem Statement

Determine all functions f:R→Rf:\mathbb{R}\to\mathbb{R} satisfying f(x+yf(x))=f(xf(y))−x+f(y+f(x))f(x+yf(x))=f(xf(y))-x+f(y+f(x))
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