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Preparing for Assessment
50.
Let
f
(
x
)
=
x
2
-
4 and
g
(
x
)
=
x
2
-
1. What is the
domain of the function
(
f
_
g
)
(
x
)?
7
A
all real numbers
B
all real numbers except
x
=
0
C
all real numbers except
x
= ±
1
D
all real numbers except
x
= ±
2
51.
Let
f
(
m
)
=
p
where
m
and
p
are both nonzero
integers. Which statement(s) must be true?
7
I.
f
(
m
_
2
)
=
p
_
2
II.
2
f
(
m
)
=
2
p
III.
f
(2
m
)
=
2
p
A
I only
B
II only
C
III only
D
I and II only
52.
The graphs of
f
(
x
) and
g
(
x
)
are shown.
7
What is
(
f
_
g
)
(
-
2)?
A
-
2
B
-
1
_
2
C
1
_
2
D
2
53.
If
f
(
x
)
=
2
x
-
10 and
g
(
x
)
=
x
2
+
3
x
+
1, what is
(
f
•
g
)(3)?
6
(
f
•
g
)(3)
=
54.
Find (
f
+
g
)(
x
) for the following functions.
1, 6
f
(
x
)
= -
5
x
2
+
4
x
-
7
g
(
x
)
=
6
x
2
-
4
x
+
12
55.
Find (
f
•
g
)(
-
2) for the following functions.
1, 6
f
(
x
)
= -
x
2
+
2
x
-
2
g
(
x
)
=
2
x
+
3
A
-
20
C
120
B
8
D
215
56.
For which pair(s) of functions is the domain of
(
f
_
g
)
(
x
)
all real numbers?
7
A
f
(
x
)
=
x
and
g
(
x
)
=
x
2
+
4
B
f
(
x
)
=
x
and
g
(
x
)
=
x
2
-
4
C
f
(
x
)
=
x
2
-
4 and
g
(
x
)
=
4
D
f(x)
=
x
+
4
and
g
(
x
)
=
x
-
4
E
f(x)
=
4
and
g
(
x
)
=
x
2
+
4
F
f(x)
=
x
2
+
4
and
g
(
x
)
=
x
2
-
4
57.
If
f
(
-
2)
=
a
and (
f
•
g
)(
-
2)
=
2
a
2
, which of the
following is g(
-
2)?
2
A
2
a
B
-
4
a
2
C
-
2
a
D
2
a
3
58.
MULTI-STEP
Jordan is ordering books online for the
members of his book club. Each member of the
club will receive a copy of the book and each book
costs $8.95. Because Jordan is ordering a large
quantity of books, one of them is free. The
shipping fee for the order is a flat rate of $4.50 and
there is no sales tax.
1, 4
a.
Let
x
represent the number of members of the
club. Write a function
B
(
x
) that represents the
total cost of the books.
b.
The club members decide to split the cost
evenly and they decide that Jordan should not
have to pay anything since he placed the order.
Write a function
N
(
x
) that represents the
number of club members who pay for books.
c.
Find
(
B
_
N
)
(
x
)
and explain what it represents.
d.
The book club has 12 members. How much
does each member pay?
C05_006A_903990
y
x
O
g
(
x
)
f
(
x
)
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