Yes, MAPEI's Type 1 adhesive and Premium Mortar for tile and stone can be used to set tile over cement board and fiber cement board.
Important: If Mapelastic AquaDefense membrane has been used to waterproof the cement board, a premixed adhesive cannot be used.
Ready-to-use tile adhesives such as MAPEI's Type 1 and Premium Mortar for tile and stone require a porous substrate to cure properly. They should not be installed over a waterproofing membrane.