List questions from function-and-relation-composition

29

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Condition on composition functions for the given fact to be true in case of codomain off is not same the domain of g

Published on 04 May 2022 - 3:57

30

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Composite Function Domain will include infinity or not in the below case

Published on 04 May 2022 - 17:22

476

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Composition of a relation with its inverse

Published on 12 May 2022 - 9:13

106

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What kind of operation is cube root extraction?

Published on 30 Mar 2026 - 15:43

75

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If $∘∘ℎ= ∧ ∘ℎ∘=$ then must $ℎ∘∘=ℎ$?

Published on 15 May 2022 - 22:59

120

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Function class consisting of gradients of real-valued convex functions

Published on 25 Mar 2026 - 19:04

510

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Why $f^2(x) \ne f(x)^2$?

Published on 20 May 2022 - 17:11

194

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Is the composition of two optimal transport maps still optimal (under some assumptions)?

Published on 24 Feb 2026 - 19:05

105

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Does the simplicity lemma of Koenig's theorem applied to $t-\frac{f(t)}{\frac{d}{dt}f(t)}$ indiciate the simplicity of the roots of f?

Published on 27 Mar 2026 - 12:03

340

Views

If we know the graph of $f(x)$ and of $g(x)$, is there a way to graph their composition $f(g(x))$?

Published on 19 Jun 2022 - 12:35

109

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Is there a non-analytic function $g$ such that $\exp(s g(z))$ is always analytic?

Published on 01 Apr 2026 - 5:37

199

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Inverse of $f(x)= x^2$, under $\mathbb R\rightarrow \mathbb R$.

Published on 22 Jun 2022 - 3:37

694

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Difference between superset and universal set

Published on 22 Jun 2022 - 20:19

52

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Find $f''(2x)$ if $f'(x) = g(x + 1)$ and $g'(x) = h(x - 1)$

Published on 23 Jun 2022 - 12:01

46

Views

Short hand notation for long chains of functional compositions

Published on 23 Feb 2026 - 7:27

List Question

Condition on composition functions for the given fact to be true in case of codomain off is not same the domain of g

Composite Function Domain will include infinity or not in the below case

Composition of a relation with its inverse

What kind of operation is cube root extraction?

If $∘∘ℎ= ∧ ∘ℎ∘=$ then must $ℎ∘∘=ℎ$?

Function class consisting of gradients of real-valued convex functions

Why $f^2(x) \ne f(x)^2$?

Is the composition of two optimal transport maps still optimal (under some assumptions)?

Does the simplicity lemma of Koenig's theorem applied to $t-\frac{f(t)}{\frac{d}{dt}f(t)}$ indiciate the simplicity of the roots of f?

If we know the graph of $f(x)$ and of $g(x)$, is there a way to graph their composition $f(g(x))$?

Is there a non-analytic function $g$ such that $\exp(s g(z))$ is always analytic?

Inverse of $f(x)= x^2$, under $\mathbb R\rightarrow \mathbb R$.

Difference between superset and universal set

Find $f''(2x)$ if $f'(x) = g(x + 1)$ and $g'(x) = h(x - 1)$

Short hand notation for long chains of functional compositions

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