Math Homework. Do It Faster, Learn It Better.
Composition of Functions
Thefunctionwhose value atisis called thecompositeof the functionsand. The operation that combinesandto produce the composite is calledcomposition.
Notation:or
Thedomainofis the set of allin the domain ofsuch thatis in the domain of.
Example:
Ifand, then find.
Substitutingforin the definition of the function,. Then,