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1.16: Composition of Functions

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

composite function

A composite function is a function h(x) formed by using the output of one function g(x) as the input of another function f(x). Composite functions are written in the form h(x)=f(g(x)) or h=f \circ g.

domain

The domain of a function is the set of x-values for which the function is defined.

Function

A function is a relation where there is only one output for every input. In other words, for every value of x, there is only one value for y.

Function composition

Function composition involves 'nested functions' or functions within functions. Function composition is the application of one function to the result of another function.

input

The input of a function is the value on which the function is performed (commonly the x value).

Output

The output of a function is the result of the operations performed on the independent variable (commonly x). The output values are commonly the values of y or f(x).

Range

The range of a function is the set of y values for which the function is defined.

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Difficulty Level:
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Date Created:
Nov 01, 2012
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MAT.ALY.162.L.1
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