MathDB
Another FE

Source: Baltic Way 2022, Problem 1

November 12, 2022
functionalgebra

Problem Statement

Let R+\mathbb{R^+} denote the set of positive real numbers. Assume that f:R+→R+f:\mathbb{R^+} \to \mathbb{R^+} is a function satisfying the equations: f(x^3)=f(x)^3   \text{and}   f(2x)=f(x) for all x∈R+x \in \mathbb{R^+}. Find all possible values of f(22022)f(\sqrt[2022]{2}).
Back to ProblemsView on AoPS