# Ch 16: Praxis Mathematics: Inverse Functions

### About This Chapter

## Praxis Mathematics: Inverse Functions - Chapter Summary

Make use of our helpful video lessons to review inverse functions for your Praxis Mathematics content knowledge test. These targeted lessons offer you ample practice in finding and verifying inverse functions, so that you can feel confident in this portion of the exam on test day. The following topics are included in this chapter on inverse functions:

- Concept of inverse functions
- Discovering and proving inverse functions
- Inverses of functions symbolized in graphic representations
- Trigonometric functions' inverses

In addition, you can learn why inverses only exist for one-to-one functions through the lessons in this chapter. Taking the short quiz at the end of each lesson helps you to gauge your comprehension of the topics discussed and develop your own testing strategy for the multiple-choice questions found on the Praxis Mathematics exam.

### Praxis Mathematics: Inverse Functions Objectives

The functions portion of your test constitutes about 16% of the exam and comprises about eight of the 50 questions on the exam. All of the questions are multiple-choice, and you'll need to take a graphing calculator. You will have two hours to complete the exam. The exam covers the following concepts related to inverse functions:

- Locate the structure of multiple functions
- Discover a one-to-one function's inverse
- Experience functions in multiple formats
- Understand why inverses only exist in one-to-one functions

### 1. Inverse Functions

An inverse function is a function that undoes a previous function. Discover how to find an inverse function and test it graphically using the horizontal line test.

### 2. Properties of Inverse Trigonometric Functions

After watching this video lesson, you will understand why our inverse trigonometric functions have a limited range. Learn what this does. Also learn the notation for these functions.

### 3. Understanding and Graphing the Inverse Function

Inverse functions reverse the calculations and output of functions but don't apply to all functions. Follow the five steps of an inverse function and use them to create a graph.

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### Other Chapters

Other chapters within the Praxis Mathematics - Content Knowledge (5161): Practice & Study Guide course

- Praxis Mathematics: Counting Numbers Properties
- Praxis Mathematics: Rational and Irrational Numbers
- Praxis Mathematics: Solving Problems with Reasoning
- Praxis Mathematics: Percents
- Praxis Mathematics: Ratios and Proportions
- Praxis Mathematics: Scientific Notation & Order of Magnitude
- Praxis Mathematics: Algebraic Expressions
- Praxis Mathematics: Algebraic Equations
- Praxis Mathematics: Algebraic Fractions
- Praxis Mathematics: Linear Equations
- Praxis Mathematics: Systems of Equations
- Praxis Mathematics: Radicals Operations
- Praxis Mathematics: Exponents
- Praxis Mathematics: Distance
- Praxis Mathematics: Functions
- Praxis Mathematics: Logarithmic Functions
- Praxis Mathematics: Rational Functions
- Praxis Mathematics: Complex Numbers Operations
- Praxis Mathematics: Sequences, Series & Probability
- Praxis Mathematics: Combinations & Permutations
- Praxis Mathematics: Quadratic Equations
- Praxis Mathematics: Polynomials
- Praxis Mathematics: Matrix Algebra
- Praxis Mathematics: Algebraic Formulas
- Praxis Mathematics: Measurement
- Praxis Mathematics: Area
- Praxis Mathematics: Polygons
- Praxis Mathematics: Quadrilaterals
- Praxis Mathematics: Circles
- Praxis Mathematics: Triangles
- Praxis Mathematics: Congruence, Similarity and Transformations
- Praxis Mathematics: Three-Dimensional Space and Volume
- Praxis Mathematics: Data
- Praxis Mathematics: Distributions
- Praxis Mathematics: Graphing
- Praxis Mathematics: Trigonometry
- Praxis Mathematics: Continuity
- Praxis Mathematics: Asymptotes
- Praxis Mathematics: Limits
- Praxis Mathematics: Derivatives
- Praxis Mathematics: Integrals
- Praxis Mathematics: Optimization and Differentiation
- Praxis Mathematics: Theorems
- Praxis Mathematics: Statistics
- Praxis Mathematics: Interpreting Statistics
- Praxis Mathematics: Understanding Logic
- Praxis Mathematics: Content Knowledge Flashcards