### Motivating Questions

- How does the process of function composition produce a new function from two other functions?
- In the composite function \(h(x) = f(g(x))\text{,}\) what do we mean by the “inner” and “outer” function? What role do the domain and codomain of \(f\) and \(g\) play in determining the domain and codomain of \(h\text{?}\)
- How does the expression for \(AV_{[a,a+h]}\) involve a composite function?