New posts in Function And Relation Composition

Given functions $h,k:\Bbb R\to \Bbb R$, is it possible to determine whether $f,g:\Bbb R\to\Bbb R$ exist so that $g\circ f=h$ and $f\circ g=k$?

For real univariate polynomials $f, g$, $f \circ f \circ f = g \circ g \circ g \implies f = g$?

Why any countable subset of $\mathbb{R}→\mathbb{R}$ is generated by a finite set under composition?

Prove that a function is bijective and show that G is a group

When is composition of meromorphic functions meromorphic

How to show that $\dim\ker(AB) \le \dim \ker A + \dim \ker B $?

Are there two functions $f, g$ such that $f(g(x)) = x^3$ and $g(f(x)) = x^5$?

Find function $f(x)$ that satisfying differential relation

What numbers are in the set $S$?

Matrix Multiplication $\to$ Function Composition?