Khan Academy
Khan Academy: Verifying Inverse Functions by Composition
Learn how to verify whether two functions are inverses by their composition. Students are given examples and practice problems.
Khan Academy
Khan Academy: Verify Inverse Functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lumen Learning
Lumen: Boundless Algebra: Inverse and Composite Functions
The resource discusses the topic of function composition. Includes multiple examples and a quiz on this topic.
University of North Carolina
University North Carolina Wilmington: Inverse Functions
Take a look at inverse functions from their definition to graphing them. This site also shows you how to find the inverse of a function.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Oswego City School District
Regents Exam Prep Center: Algebra 2: Definition of Inverse Function
An introductory look at the definition of an inverse function, the notation used for inverse functions, and tests used to determine whether a function will have an inverse. Several examples are provided for the student to scroll through...
![Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf] PPT](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf] PPT")
Other
Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf]
This slideshow explains how to verify by composition that two functions are inverses of each other.
Texas Instruments
Texas Instruments: Functions, Relations, and Inverses
This set of questions pertains to definition of functions, relations, inverses, and composition. Questions are multiple choice, true/false, and short answer. Solutions and explanations are included.
Illustrative Mathematics
Illustrative Mathematics: F Bf Graphs of Compositions
This task addresses an important issue about inverse functions. In this case, the function f is the inverse of the function g but g is not the inverse of f unless the domain of f is restricted. Aligns with F-BF.A.1.c.
BBC
Bbc: Functions
This resource takes a look at graphs of functions, composite functions, inverse functions and how to use completing the square to solve quadratic functions. A number of examples and a practice test are offered.
eFunda
Engineering Fundamentals: Hyperbolic Functions
A complete list of hyperbolic functions, plots of hyperbolic functions, and formulas. Includes links to related topics.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Relations and Functions
Hotmath provides eighteen practice problems dealing with relations, functions, and their graphs. Each of the practice problems include a step-by-step guide for solving their Algebraic problem.
University of Saskatchewan (Canada)
University of Saskatchewan: Trigonometric Functions
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.
eFunda
Relations Among Inverse Hyperbolic Functions
This site has a table of the relationships between the various Inverse Hyperbolic Functions. It has links to related topics.
Help Algebra
Help algebra.com: Algebra Help: How to Find the Inverse of a Function
This page demonstrates the algebraic method for finding the inverse of a function. The examples provided include detailed explanations.
Iowa State University
Inverse Trigonometric Functions
This trigonometry tutorial features an explanation of how the inverse of all six of the trigonometric functions are obtained--and includes a Java applet for further reinforcement of the concept.
Oswego City School District
Regents Exam Prep Center: Graphs of the Inverse Trig Functions
This site reviews basic information on inverse functions and inverse notation. Graphs of inverse trig functions are shared and discussed.
CK-12 Foundation
Ck 12: Algebra Ii: 3.5 Using Logs to Solve Exponential Functions
This section explores logarithms as operations that are the inverse of exponents. It investigates the process for "undoing" or "eliminating" variable exponents when solving exponential equations.
CK-12 Foundation
Ck 12: Analysis: Functions and Inverses
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the inverse of a function. Students examine guided notes, review guided practice and attempt practice problems.
CK-12 Foundation
Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
Cuemath
Cuemath: Inverse Operations
Explore the world of inverse operations by finding answers to questions like what are inverse operations, what are properties of inverses, and how to use inverse operations with help of interactive questions on inverse operations.
Cuemath
Cuemath: Reciprocal Function
Explore the world of reciprocal functions in this mini-lesson. Discusses a definition its domain and range, graphing of the reciprocal function, solved examples on reciprocal functions, and interactive questions.
Wolfram Research
Wolfram Math World: Inverse Cosine
A site that deals with inverse cosine. Article includes the definition, formulas including the Maclaurin series for the inverse cosine function, and examples, as well as numerous links to related terms.
Khan Academy
Khan Academy: Algebra I: Find Inverse Functions
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.