Definition:Composition of Mappings

Definition
Let $S_1$, $S_2$ and $S_3$ be sets.

Let $f_1: S_1 \to S_2$ and $f_2: S_2 \to S_3$ be mappings such that the domain of $f_2$ is the same set as the codomain of $f_1$.

Definition 3

 * CompositeMapping.png

Also see

 * Equivalence of Definitions of Composition of Mappings


 * Composite Mapping is Mapping


 * Domain of Composite Mapping
 * Image of Composite Mapping