This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# Composition

 Compositionrepresents a composition of the functions , , , ....
• Composition allows you to build up compositions of functions which can later be applied to specific arguments.
• gives .
• gives .
Apply a composition of functions to arguments:
Apply a composition of functions to arguments:
 Out[1]=
 Scope   (4)
Use pure functions inside Composition:
Use Apply with Composition:
Identity inside a composition is simplified:
 Applications   (2)
Create a composition of a sequence of functions:
Create a sum of numbers to be displayed in held form:
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:
Tabulate square roots of values without using auxiliary variables:
New in 2