MathDB
Standart looking FE

Source: Baltic Way 2022, Problem 5

November 12, 2022
algebraBaltic Wayfunctional equation

Problem Statement

Let R\mathbb{R} be the set of real numbers. Determine all functions f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} such that f(0)+1=f(1)f(0)+1=f(1) and for any real numbers xx and yy, f(xy−x)+f(x+f(y))=yf(x)+3 f(xy-x)+f(x+f(y))=yf(x)+3
Back to ProblemsView on AoPS