Curated OER
Worksheet 7.4 Function Composition
In this function composition worksheet, students find the composition of functions and state the domain. They graph relations and state the inverse. This two-page worksheet contains twelve multi-step problems.
Math Medics
S.o.s. Math: Composition of Functions
This lesson defines Composition of Functions and works several examples. This lesson considers two methods of evaluating compositions, extensively explaining both.
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...
Paul Dawkins
Paul's Online Notes: Algebra: Combining Functions
Detailed math tutorial features notes and examples that take a look at combining functions using addition, subtraction, multiplication, and division. It also discusses function composition. Includes practice and assignment problems.
Other
Brilliant: Function Composition
Discusses the topic of function composition. Includes multiple examples and a quiz related to this topic.
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.
Purple Math
Purplemath: Composition of Functions: Composing Functions With Functions
Explanations and examples of composing functions with functions.
Math Is Fun
Math Is Fun: Composition of Functions
A reference sheet with detailed explanations, examples, and practice problems for function composition.
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.
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.
Analyze Math
Analyze Math: Tutorial on Compostion of Functions
This site offers a tutorial on compostion of functions. The tutorial works through several example problems to clarify the process.
Paul Dawkins
Paul's Online Notes: Function Practice Problems by Paul's Online Notes
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
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.
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.
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...
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.
Wolfram Research
Wolfram Math World: Composition
A definition of composite functions and an investigation of their use in combinatorial compositions.