List questions from function-and-relation-composition

Published on 16 Mar 2026 - 22:12

87

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Interpretation of composition operator when applying a function to the output of another function

Published on 17 Mar 2026 - 3:50

117

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Every function of arity $n$ could be written as the composition of binary, unary and nullary functions?

Published on 16 Mar 2026 - 17:35

65

Views

How to show $(T \circ S) \circ R=T \circ (S \circ R)$?

Published on 16 Mar 2026 - 23:31

30

Views

Composition of an analytic function F with an analytic function f in a C* algebra A such that F(f) in A?

Published on 17 Mar 2026 - 3:02

38

Views

I need to come up with a rule for a set and their relation

Published on 17 Mar 2026 - 15:55

2.7k

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Inverses of Surjective and Injective Functions

Published on 17 Mar 2026 - 8:07

185

Views

Is there a name for when we extend the codomain of a function? (sort of like the opposite of the restriction)

Published on 17 Mar 2026 - 1:10

62

Views

Notation for permutations of function composition

Published on 17 Mar 2026 - 7:00

86

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Function Composition, Definition?

Published on 17 Mar 2026 - 10:35

158

Views

Chain rule and smooth functions

Published on 16 Mar 2026 - 18:09

44

Views

A question about functions from binary inputs to binary outputs

Published on 25 Mar 2026 - 14:19

477

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Counterexample to $g \circ f$ one-to-one $\implies$ $g$, $f$ one-to-one

Published on 16 Mar 2026 - 20:12

334

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Limit of composite function: $\lim_{t \to 0} [\frac{\sin(\tan(t))}{\tan(t)}]$

Published on 17 Mar 2026 - 1:15

86

Views

Composition of functions: if $f(x) = |x-2|, x \in [2,4]$, what is $f(f(x))$?

Published on 17 Mar 2026 - 3:04

List Question

Number of compositions

Interpretation of composition operator when applying a function to the output of another function

Every function of arity $n$ could be written as the composition of binary, unary and nullary functions?

How to show $(T \circ S) \circ R=T \circ (S \circ R)$?

Composition of an analytic function F with an analytic function f in a C* algebra A such that F(f) in A?

I need to come up with a rule for a set and their relation

Inverses of Surjective and Injective Functions

Is there a name for when we extend the codomain of a function? (sort of like the opposite of the restriction)

Notation for permutations of function composition

Function Composition, Definition?

Chain rule and smooth functions

A question about functions from binary inputs to binary outputs

Counterexample to $g \circ f$ one-to-one $\implies$ $g$, $f$ one-to-one

Limit of composite function: $\lim_{t \to 0} [\frac{\sin(\tan(t))}{\tan(t)}]$

Composition of functions: if $f(x) = |x-2|, x \in [2,4]$, what is $f(f(x))$?

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