1. Let f and g be functions with the same domain and codomain [let A be the domain and B be the codomain}. Consider the set h = f F] g (Note: The f and g in the triple refer to the "rules" associated with the functions f and g). Prove that h is a rule associated with a function with a suitable domain (what conditions need to be imposed on the domain for h to be a function?]. What would happen if, instead of intersection, we considered the union f LJ 3