Membranes, methods of making the membranes, and methods of using the membranes are described. The membranes can comprise a support layer, and a selective polymer layer disposed on the support layer. The selective polymer layer can comprise an oxidatively stable carrier dispersed within a hydrophilic polymer matrix. The oxidatively stable carrier can be chosen from a quaternary ammonium hydroxide carrier (e.g., a mobile carrier such as a small molecule quaternary ammonium hydroxide, or a fixed carrier such as a quaternary ammonium hydroxide-containing polymer), a quaternary ammonium fluoride carrier (e.g., a mobile carrier such as a small molecule quaternary ammonium fluoride, or a fixed carrier such as a quaternary ammonium fluoride-containing polymer), and combinations thereof. The membranes can exhibit selective permeability to gases. The membranes can selectively remove carbon dioxide and/or hydrogen sulfide from hydrogen and/or nitrogen. Further, the membranes can exhibit oxidative stability at temperatures above 100° C.