Example Solution For a) ( f + g)(4)b) ( f – g)(x) c) ( f /g)(x)d) find the following. a) Since f (4) = 2(4) – (4) 2 = 8  16 =  8 and g(4) = 3(4) + 1 = 13, we have ( f + g)(4) = f (4) + g(4) = – = 5 b) We have,

Solution continued d) Since f (–1) = 2(  1) – (  1) 2 = –3 and g(–1) = 3(  1) + 1 = –2, we have, c) We have, We assume

Domains and Graphs of Combinations of Functions

Example Notation

Example find the domains of Thus the domain of f + g, f – g, and Solution The domain of f is The domain of g is

Solution continued To find the domain of f /g, note that can not be evaluated if x + 1 = 0 or x – 2 = 0.

Example a. b.