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Math Forum - Ask Dr. Math Archives: Composition of Functions
Composition of Functions, a selection of answers from the Dr. Math archives. Why Do We Have Functions? Why do we have functions? Why do we have things like
Composition of Functions
Another way of combing two functions is to form the composition of one with the other. For instance, if and , the composition of f and g is given by:
Composition of Functions: Composing with Sets of Points
Explains the notation and terminology of function composition, and demonstrates how to compose functions given lists or graphs of their points.
Math B
The buttons represent the functions for squaring and exponentiation. This problem is dealing with the composition of these two functions.
Questions on Composition of Functions
This page contains sample problems on function composition. Function composition basic to calculus. If you have trouble with these exercises,


Composition of Functions: Composing with Sets of Points
Explains the notation and terminology of function composition, and demonstrates how to compose functions given lists or graphs of their points.
Composition of Functions: Composing Functions at Points
Uses worked examples to demonstrate how to compose functions at points, given the formulae for the functions.
Math B
The buttons represent the functions for squaring and exponentiation. This problem is dealing with the composition of these two functions.
Math B-Composition of Functions - Practice
This means that the composition also cannot accept x=2. Function f(x) cannot accept x=-1. Now, when will the answers from g(x) ever equal -1?
Questions on Composition of Functions
This page contains sample problems on function composition. Function composition basic to calculus. If you have trouble with these exercises,
Composition of Functions Questions
Problems on composition of functions and their domain. Evaluations of composite functions at values of the variable are also included.
Composition of Functions
It is called composition of two functions. It is a process through which we will But to really understand what the composition of functions is,
Function Composition
The applet below illustrates function composition. The first graph is f(x), the "inner" function, and the second graph is g(x), the "outer" function.