List questions from function-and-relation-composition

Published on 22 Sep 2017 - 18:02

496

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Notation for Functional Iteration

Published on 23 Sep 2017 - 16:56

60

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How can I find a non-polynomial function that commutes with a polynomial function?

Published on 28 Sep 2017 - 0:34

605

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Domain of a composite function $g(h(x))$

Published on 29 Sep 2017 - 20:07

319

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How to solve for $y$ in the equation $e^y-ey=e^x-ex$?

Published on 30 Sep 2017 - 10:31

317

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Are there functions f and g whose compositions are not commutative

Published on 07 Oct 2017 - 21:24

97

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Composition of functions f, g and h

Published on 08 Oct 2017 - 0:55

25

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Find composition of function

Published on 10 Oct 2017 - 7:57

769

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Mapping composition

Published on 11 Oct 2017 - 12:47

676

Views

Show that a lower semi continuous function composed with a continuous function is lower semi continuous

Published on 23 Feb 2026 - 16:39

706

Views

Functional Square Root of Piecewise Functions

Published on 20 Mar 2026 - 13:00

73

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Find $f$ and $g$ such that domain $(f\circ g)=\mathbb{R}$ and domain $(g\circ f)=\emptyset$

Published on 16 Oct 2017 - 17:34

229

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$g \circ f$ injective and $f$ surjective $\implies$ $g$ injective. Show that "$f$ surjective" is necessary?

Published on 21 Oct 2017 - 22:55

421

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$f(x)=\sqrt{\dfrac{x-\sqrt {20}}{x-3}}$, $g(x)=\sqrt{x^2-4x-12}$, find the domain of $f(g(x))$

Published on 25 Oct 2017 - 6:46

132

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If $q(x)=x^2+1$, does $q^{\circ 1/2}$ exist?

Published on 21 Mar 2026 - 0:37

List Question

Composition of functions using injectivity

Notation for Functional Iteration

How can I find a non-polynomial function that commutes with a polynomial function?

Domain of a composite function $g(h(x))$

How to solve for $y$ in the equation $e^y-ey=e^x-ex$?

Are there functions f and g whose compositions are not commutative

Composition of functions f, g and h

Find composition of function

Mapping composition

Show that a lower semi continuous function composed with a continuous function is lower semi continuous

Functional Square Root of Piecewise Functions

Find $f$ and $g$ such that domain $(f\circ g)=\mathbb{R}$ and domain $(g\circ f)=\emptyset$

$g \circ f$ injective and $f$ surjective $\implies$ $g$ injective. Show that "$f$ surjective" is necessary?

$f(x)=\sqrt{\dfrac{x-\sqrt {20}}{x-3}}$, $g(x)=\sqrt{x^2-4x-12}$, find the domain of $f(g(x))$

If $q(x)=x^2+1$, does $q^{\circ 1/2}$ exist?

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