Measurements are presented of the triple-differential cross section for inclusive isolated-photon+jet events in pp collisions at s=8 TeV as a function of photon transverse momentum ( pTγ ), photon pseudorapidity ( ηγ ), and jet pseudorapidity ( ηjet ). The data correspond to an integrated luminosity of 19.7fb-1 that probe a broad range of the available phase space, for |ηγ|<1.44 and 1.57<|ηγ|<2.50 , |ηjet|<2.5 , 40 25 GeV . The measurements are compared to next-to-leading order perturbative quantum chromodynamics calculations, which reproduce the data within uncertainties.