MathDB

Simple FE

Source: BMO Shortlist 2022, A1

May 13, 2023

algebrafunctional equationBMO Shortlist

Problem Statement

Find all functions

f : \mathbb{R} \to \mathbb{R}

such that

f(x(x + f(y))) = (x + y)f(x),

for all

x, y \in\mathbb{R}