MathDB
f(f(x)) = - x continuous

Source: Polish MO Recond Round 1981 p3

September 9, 2024
algebracontinuousfunctional

Problem Statement

Prove that there is no continuous function f:R→R f: \mathbb{R} \to \mathbb{R} satisfying the condition f(f(x))=−x f(f(x)) = - x for every x x .
Back to ProblemsView on AoPS