Other
Brilliant: Function Composition
Discusses the topic of function composition. Includes multiple examples and a quiz related to this topic.
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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Familia De Funciones. Tipos Y Operaciones
In this unit you will work interactively with family of lines, parabolas, radical functions and trigonometric functions. You will also learn about operations with function, composition of functions and the inverse of a function.
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperature Conversions
In this task involving temperature conversions, students compose and solve functions. Unit conversion problems provide a rich source of examples for the composition of functions and for inverses. Aligns with F-BF.A.1.c and F-BF.B.4.a.
Texas Instruments
Texas Instruments: Learning Pre Calculus With the Ti 89
See examples of how to use the TI-89 in Pre-Calculus. Example topics include equations with radicals, trigonometric identities, composition of functions, and inverse 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.
Illustrative Mathematics
Illustrative Mathematics: F Bf Building Explicit Quadratic Function: Composition
For this task, students work through the steps and operations involved in the composition of an explicit quadratic function. The task assumes that the students are familiar with the process of completing the square. Aligns with F-BF.B.3...
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: Find Composite Functions
Practice finding composite functions. The resource includes a video to support learning and students get instant feedback for their solutions.
CK-12 Foundation
Ck 12: Trigonometry: Composition of Trig Functions and Their Inverses
[Free Registration/Login may be required to access all resource tools.] How to Compose a trigonometric function.
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.
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.
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.
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.
CK-12 Foundation
Ck 12: Trigonometry: Composition of Inverse Reciprocal Trig Functions
[Free Registration/Login may be required to access all resource tools.] Define inverse reciprocal of trigonometric functions.
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.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Cengage Learning
Cengage: Inverse Trigonometric Functions [Pdf]
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
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.
Other
Miami Dade College: Vic 1000 Visual Comm Lecture Notes Chapters 4 and 5 [Pdf]
These are the lecture notes from a course on visual communication that uses Herbert Zettl's book "Sight Sound Motion." This PowerPoint outline (in PDF format) identifies the key points in chapters 4 and 5. Chapter 4 looks at the...
CK-12 Foundation
Ck 12: Blood
[Free Registration/Login may be required to access all resource tools.] In this interactive tutorial students will learn to explain how the heart pumps blood throughout the body. Students will explain the composition of blood and will...
OpenStax
Open Stax: Anatomy & Physiology: Regulation of Renal Blood Flow
Students learn about the myogenic and tubuloglomerular feedback mechanisms, and explain how they affect urine volume and composition.