Problem #PRU-65842

Problems Functions of one variable. Continuity Methods Examples and counterexamples. Constructive proofs Algebra 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)?