Test:
Functions III - Challenging
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Question 1:
Find the inverse function of
f
(
x
)
=
x
+
2
A
f
−
1
(
x
)
=
1
x
+
2
B
f
−
1
(
x
)
=
x
−
2
C
f
−
1
(
x
)
=
2
x
D
f
−
1
(
x
)
=
1
x
−
2
Question 2:
Find the inverse function of
f
(
x
)
=
x
+
2
x
−
2
A
f
−
1
(
x
)
=
2
x
−
1
x
+
1
B
f
−
1
(
x
)
=
2
x
+
2
x
C
f
−
1
(
x
)
=
2
x
+
2
x
−
2
D
f
−
1
(
x
)
=
2
x
+
2
x
−
1
Question 3:
Find the inverse function of
f
(
x
)
=
3
(
x
−
5
)
2
(
x
+
1
)
A
f
−
1
(
x
)
=
2
x
−
15
2
x
−
3
B
f
−
1
(
x
)
=
2
x
+
15
2
x
−
3
C
f
−
1
(
x
)
=
2
x
+
15
2
x
+
3
D
f
−
1
(
x
)
=
2
x
+
15
3
−
2
x
Question 4:
Find
f
−
1
(
4
)
of
f
(
x
)
=
2
x
−
1
5
−
3
x
A
1
2
B
-1
C
1
D
3
2
Question 5:
If
f
(
x
)
=
2
x
+
1
and
g
(
x
)
=
1
2
x
−
1
, find
f
(
g
(
x
)
)
A
f
(
g
(
x
)
)
=
2
1
2
x
B
f
(
g
(
x
)
)
=
2
x
+
2
C
f
(
g
(
x
)
)
=
x
−
1
D
f
(
g
(
x
)
)
=
x
2
−
1
Question 6:
If
f
(
x
)
=
2
x
+
1
and
g
(
x
)
=
1
2
x
−
1
, find
g
(
f
(
x
)
)
A
g
(
f
(
x
)
)
=
x
−
1
2
B
g
(
f
(
x
)
)
=
x
C
g
(
f
(
x
)
)
=
x
+
1
2
D
g
(
f
(
x
)
)
=
x
−
1
1
2
Question 7:
If
f
(
x
)
=
−
2
x
−
5
,
g
(
x
)
=
1
3
x
+
3
,
h
(
x
)
=
5
(
x
+
1
)
find
f
(
g
(
h
(
x
)
)
)
A
f
(
g
(
h
(
x
)
)
)
=
−
1
1
3
x
−
2
1
6
B
f
(
g
(
h
(
x
)
)
)
=
3
1
3
x
−
2
3
C
f
(
g
(
h
(
x
)
)
)
=
1
3
x
+
2
3
D
f
(
g
(
h
(
x
)
)
)
=
−
3
1
3
x
−
14
1
3
Question 8:
If
f
(
x
)
=
−
2
x
−
5
,
g
(
x
)
=
1
3
x
+
3
,
h
(
x
)
=
5
(
x
+
1
)
find
g
(
f
(
h
(
x
)
)
)
A
g
(
f
(
h
(
x
)
)
)
=
3
1
3
x
+
1
3
B
g
(
f
(
h
(
x
)
)
)
=
3
1
3
x
−
1
3
C
g
(
f
(
h
(
x
)
)
)
=
−
3
1
3
x
−
2
D
g
(
f
(
h
(
x
)
)
)
=
−
3
1
3
x
+
1
3
Question 9:
If
f
(
x
)
=
−
2
5
x
+
7
,
g
(
x
)
=
3
2
x
−
1
find
f
(
g
(
x
)
)
−
1
A
f
(
g
(
x
)
)
−
1
=
−
1
3
x
+
11
2
3
B
f
(
g
(
x
)
)
−
1
=
−
2
5
x
+
7
1
5
C
f
(
g
(
x
)
)
−
1
=
−
3
5
x
+
7
2
5
D
f
(
g
(
x
)
)
−
1
=
−
1
2
3
x
+
12
1
3
Question 10:
If
f
(
x
)
=
−
2
x
−
1
,
g
(
x
)
=
−
3
x
+
2
find
f
(
g
(
4
)
)
−
1
A
1
1
2
B
−
1
6
C
2
D
1
2
3
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