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ComposeList[{f1,f2,…},x]

generates a list of the form {x,f1[x],f2[f1[x]],…}.

Examples  
Basic Examples  
Applications  
Properties & Relations  
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ComposeList

ComposeList[{f1,f2,…},x]

generates a list of the form {x,f1[x],f2[f1[x]],…}.

Examples

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Basic Examples  (1)

Construct a list of the successive application of several functions:

Applications  (2)

Specify a sequence of function applications:

Apply two operations that generate a group:

Properties & Relations  (2)

ComposeList is equivalent to folding Construct with reversed arguments:

ComposeList is equivalent to folding RightComposition and then applying each composition to x:

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

Text

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

CMS

Wolfram Language. 1991. "ComposeList." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ComposeList.html.

APA

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

BibTeX

@misc{reference.wolfram_2025_composelist, author="Wolfram Research", title="{ComposeList}", year="1991", howpublished="\url{https://reference.wolfram.com/language/ref/ComposeList.html}", note=[Accessed: 16-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_composelist, organization={Wolfram Research}, title={ComposeList}, year={1991}, url={https://reference.wolfram.com/language/ref/ComposeList.html}, note=[Accessed: 16-August-2025]}