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Functional equation :o

Source: OMEC Ecuador National Olympiad Final Round 2022 N3 P2 day 1

November 2, 2024
algebrafunctional equationfunction

Problem Statement

Determine all functions f:Rā†’Rf: \mathbb{R} \rightarrow \mathbb{R} such that for all real numbers x,yx, y f(x+y)=f(f(x))+y+2022f(x + y)=f(f(x)) + y + 2022
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