Function composition is an operation that takes two functions, f and g, and produces a new function f-of-g, so that evaluating the composite function at an input x gives f applied to g applied to x, meaning g is applied first and f is applied to the result. The composition of functions is a special case of the more general composition of relations, and as a result every property of the composition of relations, including associativity, also holds for the composition of functions.
Connections
Associated With
Source Function Composition (Wikipedia)
In Branch
Sources
Function Composition (Wikipedia)
Wikimedia FoundationLead section
As a result, all properties of composition of relations are true of composition of functions, such as associativity.
Associated With: Functions, Lead section, first sentence
the composition operator ∘ takes two functions, f and g, and returns a new function f∘g
View the Source Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.