1. Graphing Composite Functions
Warm-up
Consider f(x) = √x - 1 and g(x) = x2
Determine (f ◦ g)(x) and (g ◦ f)(x)
To find the domain of (f ◦ g)(x) you must
consider the restrictions on the domain of g(x)
and the new restrictions for (f ◦ g)(x)

2. Ex 2) Let f(x) = x + 1 and g(x) = x2. Find the equation
of each composite function, graph it, and state its
domain and range.
a) y = f(g(x))
b) y = g(f(x))
c) y = f(f(x))
d) y = g(g(x))

4. Ex. Determine possible functions f and g so that:
a) f(g(x)) = (x - 2)2 b) f(g(x)) = √x + 3

5. Assignment:
p.314 #3, 4, 5, 6, 10