Students will learn how to compose two functions and evaluate the composition of functions for particular values. Ask your students to prove that the composition of two linear functions is always linear. Don't ask your students to prove the composition of quadratic functions is quartic (has degree \(4\)), because the algebra is quite messy. That's because they would need to square a quadratic. Finally, teach your students what total and partial functions are, and thus why the composition of two total functions is always total.