# Ch 12: Understanding Function Operations in Trigonometry: Homework Help

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### About This Chapter

## How it works:

- Identify which concepts are covered on your function operations homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your function operations homework with ease!

## Topics from your homework you'll be able to complete:

- Learning how to add, subtract, divide and multiply functions
- Determining how to compose functions
- Manipulating functions
- Graphing inverse functions
- Identifying one-to-one functions algebraically
- Compounding functions
- Applying function operations
- Solving equations for different variables
- Graphing functions of functions
- Learning about the domain and range of composite functions

### 1. How to Compose Functions

Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.

### 2. Applying Function Operations Practice Problems

In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!

### 3. Compounding Functions and Graphing Functions of Functions

We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!

### 4. Domain & Range of Composite Functions: Definition & Examples

Learn what makes a function a composite function and also learn how the parts of a composite function determine its domain. Also in this video lesson, learn about the range of composite functions.

### 5. Inverse Functions

Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.

### 6. Understanding and Graphing the Inverse Function

If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.

### 7. One-to-One Functions: Definitions and Examples

Watch this video lesson to learn what makes a one-to-one function different from a regular function. Learn a simple test you can use to check whether a function is one-to-one or not.

### 8. Manipulating Functions and Solving Equations for Different Variables

Functions can be manipulated to solve for many different variables. There are certain rules to follow, but if the rules are adhered to, solving equations can be quite simple. This lesson will show you how.

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### Other Chapters

Other chapters within the High School Trigonometry: Homework Help Resource course

- Real Numbers - Types and Properties: Homework Help
- Working with Linear Equations in Trigonometry: Homework Help
- Working with Inequalities in Trigonometry: Homework Help
- Absolute Value Equations in Trigonometry: Homework Help
- Working with Complex Numbers in Trigonometry: Homework Help
- Systems of Linear Equations in Trigonometry: Homework Help
- Mathematical Modeling in Trigonometry: Homework Help
- Introduction to Quadratics in Trigonometry: Homework Help
- Working with Quadratic Functions in Trigonometry: Homework Help
- Coordinate Geometry Review: Homework Help
- Functions for Trigonometry: Homework Help
- Graph Symmetry in Trigonometry: Homework Help
- Graphing with Functions in Trigonometry: Homework Help
- Basic Polynomial Functions in Trigonometry: Homework Help
- Higher-Degree Polynomial Functions in Trigonometry: Homework Help
- Rational Functions in Trigonometry: Homework Help
- Homework Help for Trig Function Graphs & Rational Expressions in Trigonometry
- Exponential & Logarithmic Functions in Trigonometry: Homework Help
- Trigonometric Functions: Homework Help
- Geometry in Trigonometry: Homework Help
- Triangle Trigonometry: Homework Help
- Working with Trigonometric Graphs: Homework Help
- Trigonometric Equations: Homework Help
- Working with Trigonometric Identities: Homework Help
- Applications of Trigonometry: Homework Help
- Analytic Geometry & Conic Sections in Trigonometry: Homework Help
- Vectors, Matrices & Determinants in Trigonometry: Homework Help
- Polar Coordinates & Parameterizations: Homework Help
- Circular Arcs, Circles & Angles: Homework Help