Question

What happens during the process of composing functions?

Answer 1

Explanation:

By composing functions, we apply one function to the result of another function. So the definition is as follows:

$The \ \mathbf{composition} \ of \ the \ function \ f \ with \ the \ function \ g \ is:\\ \\ (f \circ g)(x)=f(g(x))$

Therefore, what happens during the process of composing functions is that:

$The \ domain \ of \ (f \circ g) \ is \ the \ set \ of \ all \ x \ in \ the \ domain \ of \ g \\ such \ that \ g(x) \ is \ in \ the \ domain \ of \ f$

In other words, we send the result of $g()$ through the result of $f()$