Problem #PRU-65842

Problems Algebra Functions of one variable. Continuity Methods Examples and counterexamples. Constructive proofs Functional equations Functions. Continuity (other) Calculus

Problem

Are there functions \(p (x)\) and \(q (x)\) such that \(p (x)\) is an even function and \(p (q (x))\) is an odd function (different from identically zero)?