Composition

represents a composition of the functions

, ....

Composition allows you to build up compositions of functions which can later be applied to specific arguments.

Composition objects containing Identity or InverseFunction[f] are automatically simplified when possible. »

Apply a composition of functions to arguments:

Out[1]=

Use pure functions inside Composition:

Identity inside a composition is simplified:

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:

Use ComposeSeries to do composition of series expansions:

Tabulate square roots of values without using auxiliary variables: