1. 0-6: Operations on and Composition of Functions
Objectives:
Define the sum, difference, product, quotient and composition of functions
©2002 Roy L. Gover

2. Operations
Given:
Sum:
Domain:
Difference:
Domain:

3. Operations cont .
Product:
Domain:
Quotient:
Domain:

4. Example Example: Given f and g as follows:
Find each of the following and determine the domain of the resulting function.
a.) (f + g)(x)
b.) (f - g)(x)
c.) (f · g)(x)
d.) (f / g)(x)

5. Composition
Given: Two function f and g, the composite function, is defined by:
The domain of f g is the set of all numbers x in the domain of g such that g(x) is in the domain of f. o

6. Example
Example: Given the functions f and g, find f ○ g and the domain of f ○ g.