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Preparing for Assessment
57.
The inverse relation of which function is
not
a
function?
3
A
f
(
x
)
=
x
2
-
2
B
f
(
x
)
=
2
x
3
+
3
C
f
(
x
)
=
√
x
-
3
D
f
(
x
)
=
3
2
x
+
1
58.
Find the inverse of
f
(
x
)
=
1
_
x
2
1, 6
59.
Let
f
(
n
)
=
2
n
where
n
≠
0. If
n
=
m
, which
statement must be true?
3
A
f
-
1
(
m
)
=
m
B
f
-
1
(
m
)
=
2
m
C
f
-
1
(
1
_
2
m
)
=
m
D
f
-
1
(2
m
)
=
m
E
f
-
1
(2
m
)
=
4
m
60.
MULTI-STEP
Consider the function
f
(
x
)
=
x
+
2
_
2
.
a.
Work is shown below to find the inverse
function
f
1
(
x
). Which lines contain errors if the
intention is to find the inverse function?
Choose all that apply.
1
A
f
(
x
)
=
x
+
2
_
2
B
y
=
x
+
2
_
2
C
x
=
y
+
2
_
2
D
2
y
=
y
+
2
E
2
x
-
2
=
y
F
f
-
1
(
x
)
=
2
y
-
2
b.
Write the correct inverse function for
f
(
x
)
=
x
+
2
_
2
.
c.
What results when
f
(
f
-
1
(
x
)) is calculated?
d.
What results when
f
-
1
(
f
(
x
)) is calculated?
61.
Which pairs of functions below are inverse
functions? Choose all that apply.
1
A
f
(
x
)
=
x
+
2
_
2
and
f
(
x
)
=
y
+
2
_
2
B
f
(
x
)
=
3
x
+
9 and
f
(
x
)
=
1
_
3
x
-
3
C
x
=
√
y
_
2
and 2
x
2
=
y
D
x
=
√
y
_
2
and 2
y
2
=
x
E
3
x
-
3
=
y
and
y
=
x
+
3
_
3
F
3
x
-
3
=
y
and
y
=
x
-
3
_
3
62.
Does the inverse of each function pass the vertical
line test? Choose all for which the answer is yes.
3
A
f
(
x
)
=
x
+
2
_
2
B
f
(
x
)
=
3
√
x
+
9
C
2
y
2
=
x
D
x
=
√
y
_
2
E
y
=
x
+
3
_
3
F
y
=
x
4
-
3
_
3
63.
Find the inverse of
f
(
x
)
=
√
x
_
2
and then graph the
function and its inverse.
1, 4, 6
64.
Given that
f
(2)
=
4,
f
(4)
=
6, and
f
(6)
=
8, what is
the value of
f
-
1
(
f
-
1
(6))?
2
A
2
B
4
C
6
D
8
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