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f(2x + f(y)) = x + y + f(x)

Source: 2019 Austrian Federal Competition For Advanced Students, Part 2 p1

March 4, 2020
functional equationalgebra

Problem Statement

Determine all functions f:R→Rf: R\to R, such that f(2x+f(y))=x+y+f(x)f (2x + f (y)) = x + y + f (x) for all x,y∈Rx, y \in R.
(Gerhard Kirchner)
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