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Function: f(f(x) + y) = 2x + f(f(y) − x)

Source: Czech-Polish Slovak 2003 Q6

April 28, 2013
functionalgebra unsolvedalgebra

Problem Statement

Find all functions f:R→Rf : \mathbb{R} \to \mathbb{R} that satisfy the condition f(f(x) + y) = 2x + f(f(y) - x)  \text{ for all } x, y \in\mathbb{R}.
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