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Math 150A Midterm #1. February 17, 2006
Attention! Please, note that this is the closed book test. You are not allowed to use graphing
calculator. Simple calculators are allowed. Please, show all important steps in you solution but do
not make your solution excessively long.
1. a) (4pt) Find the domain of the function
f(x) =
1  x.
b) (4pt) Find the domain of the function
g(x) =
1
x2  4
.
c) (7pt) Find the domain of the composite function (g f)(x).
2
2. (20pt) Prove by argument that
