<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />

# 1.16: Composition of Functions

Difficulty Level: At Grade Created by: CK-12
Estimated13 minsto complete
%
Progress
Practice Composition of Functions

MEMORY METER
This indicates how strong in your memory this concept is
Progress
Estimated13 minsto complete
%
Estimated13 minsto complete
%
MEMORY METER
This indicates how strong in your memory this concept is

### Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes

### Vocabulary Language: English

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.

Show Hide Details
Description
Difficulty Level:
Tags:
Subjects: