List questions from function-and-relation-composition

Published on 27 Mar 2020 - 3:40

32

Views

If $ g \circ f (x) $ is injective, does that mean that $f(x)$ and $g(x)$ are also injective?

Published on 29 Mar 2020 - 9:56

26

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composition of functions - one-way inverse

Published on 02 Apr 2020 - 23:47

80

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Asymptotics and function composition -- which is bigger

Published on 09 Apr 2020 - 18:05

27

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Is there a formula to determine the domain and the range of a function composition with $n$ components? How to define domain and range here?

Published on 25 Mar 2026 - 19:05

60

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If $f(x,y)=x+y$, how does one determine $(f\circ f)(x,y)$?

Published on 11 Apr 2020 - 19:51

109

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Composite function. Textbook answer incorrect?

Published on 13 Apr 2020 - 14:28

47

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Quick doubt on this exercise of Uniform Continuity

Published on 17 Apr 2020 - 15:42

559

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Why a composite functions is well defined with this conditions?

Published on 19 Apr 2020 - 1:17

37

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$f\colon \mathbb R^2\to \mathbb R^2$ (,)=(−,) .

Published on 22 Apr 2020 - 10:03

67

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Solving the iterated equation $f^{\circ n}(x)=f(x)^k$

Published on 28 Apr 2020 - 3:27

39

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Is a definition like $ g(f(x)) = 0 $ possible?

Published on 28 Apr 2020 - 15:10

226

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$\log^2x$ = $(\log x)^2$ or $\log\log x$

Published on 29 Apr 2020 - 9:23

52

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Show properties about mappings

Published on 01 May 2020 - 4:38

88

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Why do I get a square wave when iterating $\cos\left(\tan\left(\cos\left(\tan\left(\cos(x)\right)\right)\right)\right)$?

Published on 01 May 2020 - 16:55

List Question

Short and quick question about composition function.

If $ g \circ f (x) $ is injective, does that mean that $f(x)$ and $g(x)$ are also injective?

composition of functions - one-way inverse

Asymptotics and function composition -- which is bigger

Is there a formula to determine the domain and the range of a function composition with $n$ components? How to define domain and range here?

If $f(x,y)=x+y$, how does one determine $(f\circ f)(x,y)$?

Composite function. Textbook answer incorrect?

Quick doubt on this exercise of Uniform Continuity

Why a composite functions is well defined with this conditions?

$f\colon \mathbb R^2\to \mathbb R^2$ (,)=(−,) .

Solving the iterated equation $f^{\circ n}(x)=f(x)^k$

Is a definition like $ g(f(x)) = 0 $ possible?

$\log^2x$ = $(\log x)^2$ or $\log\log x$

Show properties about mappings

Why do I get a square wave when iterating $\cos\left(\tan\left(\cos\left(\tan\left(\cos(x)\right)\right)\right)\right)$?

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