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CHAPTER 5
Practice Test
for
another Chapter Test
Determine whether each pair of functions are inverse
functions. Write
yes
or
no
. Explain your reasoning.
1.
f
(
x
)
=
3
x
+
8,
g
(
x
)
=
x
-
8
_
3
2.
f
(
x
)
=
1
_
3
x
+
5,
g
(
x
)
=
3
x
-
15
3.
f
(
x
)
=
x
+
7,
g
(
x
)
=
x
-
7
4.
g
(
x
)
=
3
x
-
2,
f
(
x
)
=
x
-
2
_
3
5.
MULTIPLE CHOICE
Which equation represents the
graph below?
C07-060A-888482-A
y
O
x
A
y
=
√
x
-
4
C
y
=
3
√
x
-
4
B
y
=
√
x
+
4
D
y
=
3
√
x
+
4
If
f
(
x
)
=
3
x
+
2 and
g
(
x
)
=
x
2
-
2
x
+
1, find each
function.
6.
(
f
+
g
)(
x
)
7.
(
f
·
g
)(
x
)
8.
(
f
-
g
)(
x
)
9.
(
f
_
g
)
(
x
)
Solve each equation.
10.
√
a
+
12
=
√
5
a
-
4
11.
√
3
x
=
√
x
-
2
12.
4
(
4
√
3
x
+
1
)
-
8
=
0
13.
3
√
5
m
+
6
+
15
=
21
14.
√
3
x
+
21
=
√
5
x
+
27
15.
1
+
√
x
+
11
=
√
2
x
+
15
16.
√
x
-
5
=
√
2
x
-
4
17.
√
x
-
6
-
√
x
=
3
If
f
(
x
)
=
3
x
+
2 and
g
(
x
)
=
x
2
–
2
x
+
1, find each
function.
18.
[
f
◦
g
](
x
)
19.
[
g
◦
f
](
x
)
Graph each function. State the domain and range of
each function.
20.
y
=
2
+
√
x
21.
y
=
√
x
+
4
-
1
22. MULTIPLE CHOICE
What is the domain of
f
(
x
)
=
√
2
x
+
5?
A
⎨
x
|
x
>
5
_
2
⎬
C
⎨
x
|
x
≥
5
_
2
⎬
B
⎨
x
|
x
> -
5
_
2
⎬
D
⎨
x
|
x
≥ -
5
_
2
⎬
Graph each function. State the domain and range of
each function.
23.
f
(
x
)
=
4
-
3
√
2
x
24.
f
(
x
)
=
2
3
√
x
+
2
-
4
25. MULTIPLE CHOICE
The radius of the cylinder below
is equal to the height of the cylinder. The radius
r
can
be found using the formula
r
=
3
√
V
_
π
. Find the
radius of the cylinder if the volume is 500 cubic
inches.
C07-048A-888482
r
h
A
2.53 inches
B
5.42 inches
C
7.94 inches
D
24.92 inches
Solve each inequality.
26.
√
4
x
-
3
<
5
27.
-
2
+
√
3
m
-
1
<
4
28.
2
+
√
4
x
-
4
≤
6
29.
√
2
x
+
3
-
4
≤
5
30.
√
b
+
12
-
√
b
>
2
31.
√
y
-
7
+
5
≥
10
32.
√
a
-
5
-
√
a
+
7
≤
4
33.
√
c
+
5
+
√
c
+
10
>
2
Find the inverse of each function, if it exists.
34.
f
(
x
)
= –
2
x
+
8
35.
f
(
x
)
=
x
+
1
_
3
Use the horizontal line test to determine whether the
inverse of each function is also a function.
36.
f
(
x
)
=-
4
x
2
37.
f
(
x
)
=
x
3
-
1
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