Problem #PRU-110122

Problemas Álgebra Desigualdades algebraicas y sistemas de desigualdades Desigualdades algebraicas (otras) Cálculo Funciones de una variable. Continuidad Monotonía, acotación
 14–16  4.0

Problem

The functions \(f (x) - x\) and \(f (x^2) - x^6\) are defined for all positive \(x\) and increase. Prove that the function

image

also increases for all positive \(x\).