1. The document discusses composition of functions and inverse functions. It provides examples of composing functions, finding inverse functions, and sketching the graphs of functions and their inverses. 2. Key concepts covered include the domain and range requirements for functions to be composable, identifying which functions have inverses, finding inverse functions both algebraically and graphically, and properties of inverse functions like being reflections over the line y=x. 3. Examples involve composing functions like f(g(x)), finding the inverses of functions like y=3x+2, and sketching the graphs of functions and their inverses.