This resource provides a rigorous, in-depth framework for understanding compositions and operations of functions. In particular, this set of guided notes (with 18 practice problems and a full answer key) covers the following topics: - Basics of compositions of functions (notation, real-world applications, etc.) - Evaluating compositions of functions using tables of coordinate points - Composing functions algebraically (e.g. using given equations) - Evaluating compositions of functions using grap