2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223775We give an elementary proof of a formula recently obtained by Hammond, Moorhouse, and Robbins for the adjoint of a rationally induced composition operator on the Hardy space H^2. We discuss some variants and implications of this formula, and use it to provide a sufficient condition for a rationally induced composition operator adjoint to be a compact perturbation of a weighted composition operator.21 pages, Published VersionFunctional AnalysisComplex Variables47B33text