Khan Academy
Khan Academy: Find Composite Functions
Practice finding composite functions. The resource includes a video to support learning and students get instant feedback for their solutions.
Cuemath
Cuemath: Composite Function
A comprehensive guide for learning all about composite functions with definitions, how to solve them, solved examples, and practice questions.
Texas Instruments
Texas Instruments: Video Tutorial Learn How to Evaluate Composite Functions
In this video, you will see how to evaluate composite functions both numerically on the home screen and through the graph screen.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Composition of Functions
A student asks Dr. Math how to evaluate a composite function. Dr. Math gives a systematic way to evaluate composite functions. Be sure to read the second response as well to findout how to evaluate functions of several compositions and...
Khan Academy
Khan Academy: Algebra Ii: Functions: Model With Composite Functions
Given two basic functions that model a real-world situation, compose them in order to model a more complex situation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Evaluate Composite Functions
Given the formulas of two functions, evaluate the composition of the two functions at a given input.
Khan Academy
Khan Academy: Evaluate Composite Functions: Graphs & Tables
Given the graphs, or some tables of values, of two functions, evaluate the composition of those functions at a given input.
Khan Academy
Khan Academy: Model With Composite Functions
Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.
Khan Academy
Khan Academy: Find Composite Functions
Given the formulas of two functions, find the formula of their composition.
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.
Math Is Fun
Math Is Fun: Composition of Functions
A reference sheet with detailed explanations, examples, and practice problems for function composition.
Purple Math
Purplemath: Composition of Functions: Composing With Sets of Points
An in-depth lesson that explains the notation and terminology of function composition, and demonstrates how to use composition. Successive pages look at composing functions at points, composing functions with functions, word problems...
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.
Help Algebra
Help algebra.com: How to Find Compositions of Functions
Learn how to notate and evaluate composite functions with this article. The examples are detailed and provide steps for finding the composition of two functions.
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.
CK-12 Foundation
Ck 12: Algebra: Composition of Functions
[Free Registration/Login may be required to access all resource tools.] This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Analysis: Operations on Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to add, subtract, multiply, divide and compose two or more functions. Students examine guided notes, review guided practice, watch...
Purple Math
Purplemath: Composition of Functions: Composing Functions With Functions
Explanations and examples of composing functions with functions.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Composite Functions
Dr. Math explains a common mistake made by students with compostion of functions. Dr. Math goes through an example problem of function composition with a short explanation.
Oswego City School District
Regents Exam Prep Center: Composition of Functions
This tutorial contains explanations and examples of functions that have been combined, or "compounded." The examples are easy to follow and are great for practice or review.
Texas Instruments
Texas Instruments: Two Functions or Not Two Functions:
Students create original artwork using all functions and conics studied throughout the course. Lines and absolute values, conic sections and whatever else they can stick in a y= are combined with some calculator tricks to make works of...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Teaching Composition of Functions
Dr. Math gives several suggestions for teachers when helping students understand the concept of composition of functions.
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: 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.