There are so many real-world examples of this it's hard to pick one. Basically any time you are doing one computation and then doing another computation, that is composition of functions.

It is obvious that function composition is/ (must be) associative, but attempts at modest generalization, leave me questioning where, if anywhere, there might be a bit of sleight of hand.

Jul 24, 2018 · It doesn't cause confusion because the function being talked about is quite straightforward. But I'm still interested in knowing what the "correct" way/s to describe $g \circ …

Explore related questions notation function-and-relation-composition See similar questions with these tags.

Is there a commonly-accepted operator which defines multiple function composition? I have not been able to find one on any of the related Wikipedia pages. In one of my proofs, I've been …

Sep 4, 2020 · So we have two ways to approach this, one as multiplication and the other as function composition. Linear maps generalize this. How can we see that matrix multiplication in …

@AméricoTavares I usually draw the function in this way eevry time it helps me with composition of functions and when I "play" with algebraic structures but I was always scared to use them in …

Jul 17, 2015 · The standard definition (say from Wolfram) is in fact the second one. Also, the standard definition allows the range of the function to be a subset of the stated codomain. …

Composition of functions that are onto or one-to-one Ask Question Asked 13 years, 2 months ago Modified 4 years, 11 months ago

Jun 23, 2015 · I have a question for my math study. It seems quite simple, but I just can't find a counterexample for the following: The composition of two functions is always commutative …