# Composition

Composition[f1,f2,f3,]

represents a composition of the functions f1, f2, f3, .

# Examples

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## Basic Examples(2)

Apply a composition of functions to arguments:

Apply a composition using infix notation:

## Scope(6)

Use pure functions inside Composition:

Use Apply with Composition:

Identity inside a composition is simplified:

InverseFunction inside a composition is simplified if possible:

Create a compound operator that looks for symbols and then multiplies them by 2:

Apply that function to a list:

## Applications(2)

Create a composition of a sequence of functions:

Create a sum of numbers to be displayed in held form:

## Properties & Relations(7)

Composition composes on the left:

RightComposition composes on the right:

Pure functions let you set up objects that work like Composition:

Different ways of entering compositions:

Compose a function with itself times using Nest:

Compose a function with itself times using RSolve:

Compose TransformationFunction objects:

Use ComposeSeries to do composition of series expansions:

## Neat Examples(1)

Tabulate square roots of values without using auxiliary variables:

Wolfram Research (1991), Composition, Wolfram Language function, https://reference.wolfram.com/language/ref/Composition.html (updated 2014).

#### Text

Wolfram Research (1991), Composition, Wolfram Language function, https://reference.wolfram.com/language/ref/Composition.html (updated 2014).

#### CMS

Wolfram Language. 1991. "Composition." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/Composition.html.

#### APA

Wolfram Language. (1991). Composition. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Composition.html

#### BibTeX

@misc{reference.wolfram_2022_composition, author="Wolfram Research", title="{Composition}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/Composition.html}", note=[Accessed: 10-June-2023 ]}

#### BibLaTeX

@online{reference.wolfram_2022_composition, organization={Wolfram Research}, title={Composition}, year={2014}, url={https://reference.wolfram.com/language/ref/Composition.html}, note=[Accessed: 10-June-2023 ]}