Answer to Question #274405 in Math for Leyahhhh

Question

Let f, g : A → A be functions with the same domain and codomain A.

1. Give a brief justification of why g ◦f, f ◦g : A → A both have the same domain and codomain A.

2. Either give a proof that g◦f and f ◦g are equal or show that they are not equal by constructing a