1. 2-6: Combinations of Functions
Objective: Find and use operations on compositions of functions, and domains.

2. Operations on Functions
Sum
(f + g)(x) =
Difference
(f – g)(x) =
Product
(fg)(x) =
Quotient =

3. Examples: f(x) = 2x2 + 7x + 3 & g(x) = x2 + 6x + 9
(f + g)(x)= (f – g)(x)=
3. (fg)(x)= =
Find each function below, then state it’s domain.

4. Composition of functions
The composition of the function f with the function g is:
The composition of the function g with the function f is:
(substitute the g function into the f)
(substitute the f function into the g)

5. Examples Given f(x) = x + 2 & g(x) = 4 – x2
Find the composite function below, then the domain of f(x), g(x), and of each composite function: 5. 6. 7.