List questions from function-and-relation-composition

Published on 18 Dec 2016 - 3:43

152

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Why doesn't this property work on the following composite function?

Published on 20 Dec 2016 - 1:58

11.7k

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If $g \circ f $ is injective, why must $f$ be injective but not $g$?

Published on 21 Dec 2016 - 20:43

1k

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mountain climbing problem

Published on 30 Dec 2016 - 2:09

211

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Composition of subharmonic function with $z\mapsto z^k$ for $k\in\mathbb{N}$ is subharmonic.

Published on 02 Jan 2017 - 9:48

941

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Composition of multiplicative functions which is not multiplicative

Published on 25 Mar 2026 - 15:21

64

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Alternative notations of Function Composition

Published on 06 Jan 2017 - 8:07

34

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Graphing $f(g(x))$ and $h(x)$

Published on 07 Jan 2017 - 11:57

25

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trig function Composition issues

Published on 10 Jan 2017 - 5:26

867

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Proving composite of even functions is even

Published on 10 Jan 2017 - 18:14

157

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Limit composition theorem. True or false?

Published on 12 Jan 2017 - 1:25

1.1k

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Finding $g(x)$ , given $h(x)$ and $f(x)$

Published on 12 Jan 2017 - 17:44

833

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derivative of composite function and chain rule

Published on 13 Jan 2017 - 17:49

2.8k

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Given $f(x)=2x-6$ and $g(x)=x+3$, sketch the graph of $f(x), g(x), (f\circ g)(x)$, and $(g\circ f)(x)$

Published on 14 Jan 2017 - 1:25

548

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How to find composition of two piecewise-linear functions quickly?

Published on 14 Jan 2017 - 10:50

List Question

Use functions $f(x) =\frac{x}{8} + 1$ and $g(x) = x^3$ to find $(f o g)^-1(5)$

Why doesn't this property work on the following composite function?

If $g \circ f $ is injective, why must $f$ be injective but not $g$?

mountain climbing problem

Composition of subharmonic function with $z\mapsto z^k$ for $k\in\mathbb{N}$ is subharmonic.

Composition of multiplicative functions which is not multiplicative

Alternative notations of Function Composition

Graphing $f(g(x))$ and $h(x)$

trig function Composition issues

Proving composite of even functions is even

Limit composition theorem. True or false?

Finding $g(x)$ , given $h(x)$ and $f(x)$

derivative of composite function and chain rule

Given $f(x)=2x-6$ and $g(x)=x+3$, sketch the graph of $f(x), g(x), (f\circ g)(x)$, and $(g\circ f)(x)$

How to find composition of two piecewise-linear functions quickly?

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