Composition is a [[Higher-Order]] [[Binary Operation]] between two [[Function|Functions]] $f, g$ defined as the function that applies an input to $g$ then to $f$, denoted by $f \circ g$. $\huge $ $\huge(g \circ f)(x) = g(f(x))$ $\huge \begin{align} f&: A \to B \\ g&: B \to C \\ f\circ g &: A \to C \end{align} $ [[Composition]] is always [[Associative]]: $\huge f\circ g\circ h = (f \circ g) \circ h = f\circ(g\circ h) $ >[!example]- >![[../../00 Asset Bank/Pasted image 20241005161215.png|invert_Sepia]]