MathDB
g(g(x)) = g(x)+2x , continuous

Source: 1998 Belarus TST 7.3

December 25, 2020
continuousfunctional equationfunctionalalgebra

Problem Statement

Find all continuous functions f:Rā†’Rf: R \to R such that g(g(x))=g(x)+2xg(g(x)) = g(x)+2x for all real xx.
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