Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Inverse Functions
Here is a site that clearly and thoroughly explains how to find and graph inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who...
Purple Math
Purplemath: Inverse Functions: Definition of "Inverse" / Drawing the Inverse
Explains the concept of inverse functions, covers some typical exercises, and demonstrates how to find the inverse of a given function.
Cool Math
Coolmath: Inverse Tricks
Explanation and examples of inverse functions with exponents and logarithms.
Paul Dawkins
Paul's Online Notes: Inverse Functions Practice Problems
n this section we will define an inverse function and the notation used for inverse functions. We will also discuss the process for finding an inverse function.
Cool Math
Coolmath: Inverse Functions What Are They and What Do They Do?
Get the basics of inverse functions in this tutorial.
Cool Math
Coolmath: Inverse Functions the Picture Two Big Things to Know
This tutorial illustrates big ideas of inverse functions.
Cool Math
Coolmath: Inverse Functions Composition of Functions
This algebra lesson explains how to do composition of functions.
Cool Math
Coolmath: How to Tell if Two Functions Are Inverses
Use this tutorial to find out if two functions are inverses.
Cool Math
Coolmath: How to Find the Inverse of a Function
Find out how to find the inverse of a function.
Cool Math
Coolmath: How to Tell if a Function Has an Inverse Function (One to One)
Find out how to tell if a function has an inverse function.
Illustrative Mathematics
Illustrative Mathematics: F if the Parking Lot
In this task about parking lot rates, students investigate what a function is and explain their reasoning. Aligns with F-IF.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Parabolas and Inverse Functions
This task assumes an understanding of the relationship between functions and equations. Learners try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
Illustrative Mathematics
Illustrative Mathematics: F Bf Invertible or Not?
For this task, students are asked to complete a table of input-output pairs for two functions in such a way that one of the functions is invertible and the other one is not. Aligns with F-BF.B.4.
Illustrative Mathematics
Illustrative Mathematics: F Bf Rainfall
In this task, students are asked to analyze a function and its inverse when the function is given as a table of values. In addition to finding values of the inverse function from the table, they also have to explain why the given...
Illustrative Mathematics
Illustrative Mathematics: F Bf Latitude
For this task, learners are presented with data about latitude and the percentage of the Earth's surface north of each latitude line. They are to use this data to sketch a graph, analyze it, and build an understanding of an invertible...
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.
Illustrative Mathematics
Illustrative Mathematics: F Bf Us Households
For this task, learners are asked to find a linear function which models the number of households in the U.S. as a function of the year. They are also to construct and use an inverse function to model the context, and interpret their...
Khan Academy
Khan Academy: Determine if a Function Is Invertible
Given the table of values of a function, determine whether it is invertible or not by examining its domain. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Restrict Domains of Functions to Make Them Invertible
Given the graph of a function, find ways to restrict its domain in order to make it invertible. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
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.
Khan Academy
Khan Academy: Algebra I: Evaluate Inverse Functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Analyze Math
Analyze Math: Derivative of Inverse Function
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
CK-12 Foundation
Ck 12: Composition of Inverse Reciprocal Trig Functions
[Free Registration/Login may be required to access all resource tools.] On this site students learn about the composition of inverse trigonometric functions. Students read about inverse reciprocal functions, watch a video about the topic...