List questions from function-and-relation-composition

Published on 29 Mar 2026 - 4:11

258

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Is every function $f : \mathbb N \to \mathbb N$ a composition $f = g\circ g$?

Published on 14 Nov 2013 - 20:39

2.6k

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$A=\{1,2,3,4,5\}$. How many functions $f : A \to A$ so that $(f\circ f)(1) = 3$

Published on 15 Nov 2013 - 2:16

129

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Simplify functions involving modular arithmetic

Published on 20 Nov 2013 - 15:47

25.7k

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composition of two uniformly continuous functions.

Published on 21 Nov 2013 - 9:56

3.4k

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Example of sets $A$ and $B$ and functions $F$ and $G$ such that $F: A \rightarrow B, G: B \rightarrow A, G \circ F = I_{A}$, and $G \neq F^{-1}$

Published on 22 Nov 2013 - 2:25

104

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Proving composition of functions

Published on 25 Nov 2013 - 4:51

680

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If two compositions are bijective, then all functions involved are bijective?

Published on 28 Nov 2013 - 3:34

37

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What can I use as the generic term for "a function that is composed with another"?

Published on 28 Nov 2013 - 15:55

1.5k

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Find Domain and Range of Composite Function

Published on 03 Dec 2013 - 18:30

89

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Function composition and inverse

Published on 10 Dec 2013 - 20:36

3k

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function composition - $n$ times

Published on 10 Dec 2013 - 23:06

151

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Proofs regarding composition of functions

Published on 14 Dec 2013 - 4:13

556

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Solve the composition $f \circ g=?$ and $g\circ f=?$

Published on 15 Dec 2013 - 15:39

2.8k

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How to find $f(x)$ and $g(x)$ when only given $f(g(x))$

Published on 17 Dec 2013 - 1:36

List Question

MathCAD: composite function, (f∘g)(x)

Is every function $f : \mathbb N \to \mathbb N$ a composition $f = g\circ g$?

$A=\{1,2,3,4,5\}$. How many functions $f : A \to A$ so that $(f\circ f)(1) = 3$

Simplify functions involving modular arithmetic

composition of two uniformly continuous functions.

Example of sets $A$ and $B$ and functions $F$ and $G$ such that $F: A \rightarrow B, G: B \rightarrow A, G \circ F = I_{A}$, and $G \neq F^{-1}$

Proving composition of functions

If two compositions are bijective, then all functions involved are bijective?

What can I use as the generic term for "a function that is composed with another"?

Find Domain and Range of Composite Function

Function composition and inverse

function composition - $n$ times

Proofs regarding composition of functions

Solve the composition $f \circ g=?$ and $g\circ f=?$

How to find $f(x)$ and $g(x)$ when only given $f(g(x))$

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