MathDB
Exercisable functional equation

Source: RMM Extralist 2021 A1

September 18, 2023
RMM Shortlistalgebrafunctional equationsubstitutionsfunction

Problem Statement

Determine all functions f:Rā†’Rf:\mathbb{R} \to \mathbb{R} such that f(xy+f(x))+f(y)=xf(y)+f(x+y) f(xy+f(x)) + f(y) = xf(y) + f(x+y) for all real numbers xx and yy.
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