  A Precalculus Outline

 Chapter 5:  Further Topics in Functions Objective: Finding a formula for a composite function Objective: Finding the domain of a composite function Objective: Function notation Objective: Finding domain algebraically Objective: Understanding the concept of inverse functions Objective: Identifying one-to-one functions using the Horizontal Line Test Objective: Verifying two functions are inverses using function composition Objective: Finding a formula for an inverse function Objective: Graphs of inverse functions Objective: Restricting a function to make it one-to-one Objective: Summary of Inverse Functions Objective: Graphing root and radical functions Objective: Using rational exponents to simplify radical expressions Objective: Solving equations involving radicals Objective: Identifying extraneous solutions to equations involving radicals Objective: Solving equations involving rational exponents Objective: Simplifying radical expressions Objective: Definition of Rational Exponents Objective: Simplifying Expressions with Rational Exponents