List questions from function-and-relation-composition

Published on 24 Sep 2016 - 13:36

320

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Can the composition of a rational function ever be a polynomial?

Published on 28 Sep 2016 - 15:32

72

Views

Prove $f \circ g_1 = f \circ g_2 \Rightarrow g_1 = g_2$

Published on 29 Sep 2016 - 16:04

498

Views

Composition with all smooth function is smooth implies smoothness

Published on 04 Oct 2016 - 0:58

29

Views

Confusion about composite function and their ranges

Published on 11 Oct 2016 - 12:20

40

Views

Compositions of functions: How to assign functions $f(x), g(x)$ so that $f(g(x))=\tan(x^3) $

Published on 16 Oct 2016 - 19:01

134

Views

Endomorphisms, unitary map and composition

Published on 16 Oct 2016 - 19:53

26.7k

Views

Finding $R \circ S$, $S \circ R$, and $R \circ R$ for given relations $R,S$

Published on 17 Oct 2016 - 8:10

7.9k

Views

What is composition of convex and concave function?

Published on 17 Oct 2016 - 11:32

1.6k

Views

Proving continuity of composition of continuous functions

Published on 17 Oct 2016 - 18:48

2.7k

Views

How to show $(S \circ R)^{-1} = R^{-1} \circ S^{-1}$?

Published on 21 Oct 2016 - 10:15

47

Views

Differentiating composite function involving sin(1/x)

Published on 22 Oct 2016 - 18:28

311

Views

Solve for function in a composition

Published on 27 Oct 2016 - 1:38

52

Views

Describe $R \circ Q$ and $Q \circ R$ in the case where $A=\{1,2\}, R=\{(1,1),(1,2)\}$ and $Q=\{(2,1)\}$

Published on 26 Mar 2026 - 1:23

96

Views

Composing the generators of an ideal with a monic polynomial

Published on 27 Oct 2016 - 17:05

List Question

Function composition problem

Can the composition of a rational function ever be a polynomial?

Prove $f \circ g_1 = f \circ g_2 \Rightarrow g_1 = g_2$

Composition with all smooth function is smooth implies smoothness

Confusion about composite function and their ranges

Compositions of functions: How to assign functions $f(x), g(x)$ so that $f(g(x))=\tan(x^3) $

Endomorphisms, unitary map and composition

Finding $R \circ S$, $S \circ R$, and $R \circ R$ for given relations $R,S$

What is composition of convex and concave function?

Proving continuity of composition of continuous functions

How to show $(S \circ R)^{-1} = R^{-1} \circ S^{-1}$?

Differentiating composite function involving sin(1/x)

Solve for function in a composition

Describe $R \circ Q$ and $Q \circ R$ in the case where $A=\{1,2\}, R=\{(1,1),(1,2)\}$ and $Q=\{(2,1)\}$

Composing the generators of an ideal with a monic polynomial

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