Composition of Functions
The function whose value at x is f(g(x)) is called the composite of the functions f and g. The operation that combines f and g to produce the composite is called composition.
Notation: (f ◦ g)(x) or f(g(x))
The domain of f(g(x)) is the set of all x in the domain of g such that g(x) is in the domain of f.
Example:
f(2) = 3(2) – 5 = 1, so f(g(4)) = 1
