MathDB
Functional equation

Source: Polish MO second round 2012

February 19, 2012
functionalgebrafunctional equation

Problem Statement

f,g:R→Rf,g:\mathbb{R}\rightarrow\mathbb{R} find all f,gf,g satisfying ∀x,y∈R\forall x,y\in \mathbb{R}: g(f(x)−y)=f(g(y))+x.g(f(x)-y)=f(g(y))+x.
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