Math 112 Final Exam Study Aid Worksheet With Answer Key Page 32
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39Math 112
Final Exam Study Aid
32 of 39
C
1
110. Find R
(x) if R(x) =
(C is a real number)
3x
1
C
3x
1
1
1
(A) R
(x) =
x + C
(B) R
(x) =
3
C
C + x
C
3x
1
1
(C) R
(x) =
, x = 0
(D) R
(x) =
, x = 0
3x
x
(E) None of these
111. Suppose g(x) is the inverse of the function f (x). Which of the following tables would
be correct for g(2x) if f (x) is given in the table below.
x
2
1 0 1 2
f (x) 1
3
5 7 9
x
1
3
5 7 9
x
1
3
5 7
9
(A)
(B)
1
1
g (2x)
4
2 0 2 4
g (2x)
1
0
1
2
2
1
3
5
7
9
x
2
6
10 14 18
x
2
2
2
2
2
(C)
(D)
g (2x)
2
1 0
1
2
g (2x)
2
1 0
1
2
112. What is the domain of y = 10
log
(5n
230)?
7
(A) (
, 230] (B) [46,
)
(C) (46,
)
(D) (230,
)
(E) (
, 48)
x
e
+ 1
1
113. Let f (x) =
. Find f
(x).
x
e
1
x
x
e
+ 1
ln(e
+ 1)
x + 1
1
1
1
(A) f
(x) = ln
(B) f
(x) =
(C) f
(x) = ln
x
x
e
1
ln(e
1)
x
1
ln(x + 1)
ln(x
1)
1
1
(D) f
(x) =
(E) f
(x) =
ln(x
1)
ln(x + 1)
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