Do there exist functions $p(x)$ and $q(x)$, such that $p(x)$ is an even function while $p(q(x))$ is an odd function (different from 0)? (3 points)
Source: Spring 2006 Tournament of Towns Senior O-Level #2
Tags: functions
Do there exist functions $p(x)$ and $q(x)$, such that $p(x)$ is an even function while $p(q(x))$ is an odd function (different from 0)? (3 points)