# Chapter 7: Roots, Radicals, and Function Operations

Created by: CK-12

## Introduction

This chapter extends what we have learned about polynomials and exponents and applies those ideas to square root and cubed root functions. First, we will introduce rational exponents and simplify these expressions. We will also solve equations with radicals and rational exponents. Then, we switch gears a little and learn how to find the inverse of a function as well as how to add, subtract, multiply, divide, and compose them.

## Chapter Outline

- 7.1. Defining nth Roots
- 7.2. Rational Exponents and Roots
- 7.3. Applying the Laws of Exponents to Rational Exponents
- 7.4. Graphing Square Root Functions
- 7.5. Graphing Cubed Root Functions
- 7.6. Extracting the Equation from a Graph
- 7.7. Solving Simple Radical Equations
- 7.8. Solving Radical Equations with Variables on Both Sides
- 7.9. Solving Rational Exponent Equations
- 7.10. Function Operations
- 7.11. Inverse Functions

### Chapter Summary

## Summary

This chapter covers roots, radicals, and rational exponents. We will simplify expressions, graph, and solve equations with all of these types of operators. Lastly, we will learn how to find the composition of a function and the inverse of a function.

### Image Attributions

## Description

This chapter covers rational exponents, nth roots, solving radical equations, function operations, and inverse of a function.

## Difficulty Level:

At Grade## Tags:

## Subjects:

## Date Created:

Oct 08, 2013## Last Modified:

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