Problem #PRU-34872

Problemas Cálculo Funciones de una variable. Continuidad Ciertas propiedades de una función y relaciones de recurrencia.
 14–15  3.0

Problem

On a function \(f (x)\), defined on the entire real line, it is known that for any \(a>1\) the function \(f (x) + f (ax)\) is continuous on the whole line. Prove that \(f (x)\) is also continuous on the whole line.