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...
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.
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.
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...
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.
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...
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.
Windstream
Ojk's Precalculus Study Page: Operations on Functions
An introduction covering how to add, subtract, multiply, divide, and find the composite of functions. Includes examples and sample exercises with solutions.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Operations With Functions
Learn how to perform operations with functions via viewing problems and step-by-step solutions and completing several practice problems and checking your work.
Wolfram Research
Wolfram Math World: Composition
A definition of composite functions and an investigation of their use in combinatorial compositions.
CK-12 Foundation
Ck 12: Analysis: Composition of Functions
[Free Registration/Login may be required to access all resource tools.] This lesson provides an introduction to the composition or combination of functions.
Mathematics Archives
Math Archives: Composition of Functions
Site offers a detailed explanation of the compostion of functions
Interactive Mathematics
Interactive Mathematics: Powers of a Function
The Chain Rule is presented with a detailed example. It is followed by a demonstration of how the Chain Rule is applied to power functions.
University of Saskatchewan (Canada)
University of Saskatchewan: Composition of Functions
This unique site allows one to enter two functions from a list of options, graphs both functions and their composition, then allows the user to trace any of the three via the java applet.
Texas Instruments
Texas Instruments: Numb3 Rs: Perfect Out Shuffles
Based off of the hit television show NUMB3RS, this activity give students a real-life context in which to use both compositions of functions and piecewise functions. The lesson is framed in the context of shuffling cards in such a way so...
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...
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.
Interactive Mathematics
Interactive Mathematics: Functions and Graphs
The system created by Rene Descartes (1596-1650 CE) is explored in depth, covering topics such as definitions, notation, evaluating, domain and range, graphing and more. Interactive examples and demonstrations are enhanced using Live...
ClassFlow
Class Flow: Integration by Substitution and Pattern Recognition
[Free Registration/Login Required] Two different techniques for integrating composite functions, pattern recognition and change of variables, are discussed using a process called u-substitution. This pattern recognition uses both of the...
Texas Instruments
Texas Instruments: Computing Derivatives
Sample problems that provide ideas about using SMG to assist students in learning to solve derivative problems. Prerequisites: ability to classify functions as power, exponential, product, and composition and how to decompose composite...
University of California
Uc Davis: The Chain Rule
Nice comprehensive site on the chain rule the site explains the notation that goes along with the common notation of the chain rule through examples.
Texas Instruments
Texas Instruments: Algebra Ii and the Ti 83+
This session will examine how the TI-83+ can be used to improve instruction in Algebra II classes. We will look at different objectives from the Algebra II curriculum and examine several ways that calculators can improve student...