List questions from function-and-relation-composition

Published on 25 Mar 2026 - 16:01

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Structure of Proofs of Invertibility?

Published on 25 Mar 2026 - 16:01

194

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Is the Schröder Equation valid for higher dimensional iterated maps?

Published on 04 May 2026 - 18:35

861

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Which functions satisfy $f^n(x) = f(x)^n$ for some $n \ge 2$?

Published on 25 Mar 2026 - 16:03

1.5k

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Are the standard rules for determining convexity of composition of 2 functions all encompassing?

Published on 25 Mar 2026 - 16:03

53

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What are examples of pseudorandom functions that can be preformed without the assistance of a computer?

Published on 25 Mar 2026 - 16:03

82

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Function composition - solving for functions

Published on 06 Apr 2026 - 4:52

197

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Seeing the tendency of functions

Published on 25 Mar 2026 - 17:37

68

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Decomposing a binary function, into (1) a continuous function and (2) a thresholding function.

Published on 25 Mar 2026 - 15:57

122

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Is there any unique function $c=f(a, b)$ such that if I know only $c$, I can deduce unique $a$ and $b$ from it?

Published on 25 Mar 2026 - 17:40

395

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Proving f is onto given if $g \circ f = h \circ f$, then g = h

Published on 25 Mar 2026 - 22:05

72

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What is a function $g$ called, which, composed with a certain function $f_2$, yields a given function $f_1$ (i.e. $f_1 = f_2\circ g$)?

Published on 25 Mar 2026 - 16:01

113

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Composition of functions of given set

Published on 05 Apr 2026 - 21:43

93

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All values of $m,b \in \mathbb{R}$ such that $f(x) = mx+b$ is a solution to $f(f(x)) = x$

Published on 25 Mar 2026 - 22:05

210

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Number of real roots of an iterated quadratic: $x^2-3/2$

Published on 25 Mar 2026 - 19:06

List Question

What is the correct way to read $f\circ g$?

Structure of Proofs of Invertibility?

Is the Schröder Equation valid for higher dimensional iterated maps?

Which functions satisfy $f^n(x) = f(x)^n$ for some $n \ge 2$?

Are the standard rules for determining convexity of composition of 2 functions all encompassing?

What are examples of pseudorandom functions that can be preformed without the assistance of a computer?

Function composition - solving for functions

Seeing the tendency of functions

Decomposing a binary function, into (1) a continuous function and (2) a thresholding function.

Is there any unique function $c=f(a, b)$ such that if I know only $c$, I can deduce unique $a$ and $b$ from it?

Proving f is onto given if $g \circ f = h \circ f$, then g = h

What is a function $g$ called, which, composed with a certain function $f_2$, yields a given function $f_1$ (i.e. $f_1 = f_2\circ g$)?

Composition of functions of given set

All values of $m,b \in \mathbb{R}$ such that $f(x) = mx+b$ is a solution to $f(f(x)) = x$

Number of real roots of an iterated quadratic: $x^2-3/2$

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