MathDB
f(x)+f(ax) is continuous - All-Russian MO 1999 Regional (R4) 11.1

Source:

September 25, 2024
algebracontinuousfunction

Problem Statement

The function f(x)f(x), defined on the entire real line, is known but that for any a>1a > 1 the function f(x)+f(ax)f(x)+f(ax) is continuous on the entire line. Prove that f(x)f(x) is also continuous along the entire line.
Back to ProblemsView on AoPS