8
1
The functions f and g are defined as f(x)=
g(x)=
x+3
5-x
f
g
a) Find the domain of f, g, f+g, f-g, fg, ff,
and
g
f
b) Find (f+g)(x). (f-g)(x). (fg)(x). (ff)(x),
H
(x), and
(9)
(x).
a) The domain of f is (-co,-3)U(- 3,00).
(Type your answer in interval notation.)
The domain of g is (-0,5)U(5.00)
(Type your answer in interval notation.)
The domain of f+g is (co,-3)U(-3,5)U(5.00).
(Type your answer in interval notation.)
The domain off-g is (-,-3)U(-3,5)U(5,∞).
(Type your answer in interval notation.)
The domain of fg is (co,-3)U(-3.5)U(5.00).
(Type your answer in interval notation.)
The domain of ff is (co,-3)U(-3,00)
(Type your answer in interval notation.)
The domain of is (co,-3)U(-3,5)U(5,00)
g
(Type your answer in interval notation.)
The domain of is
(Type your answer in interval notation.)