Math 112 Final Exam Study Aid Worksheet With Answer Key Page 14

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Math 112
Final Exam Study Aid
14 of 39
f
42. Given f (x) = 4x + 1 and g(x) = 5x + 2 , find
( 4).
g
15
17
5
(A)
(B)
(C)
(D)
4
(E) None of these
22
22
6
43. Given f (x) =
2x and h(x) = x
3, find (h f )( 2).
(A) 1
(B)
10
(C)
1
(D)
10
(E) (h f )( 2) is undefined
44. Given the table of values for f (x) and w(x) below, determine an equation for w(x) in
terms of f (x).
x
0
1
2
3
4
5
6
7
f (x)
0
0.3
2
2.3
3
3.3
4
4.3
x
2
1
0
1
2
3
4
5
w(x)
0
0.3
2
2.3
3
3.3
4
4.3
(A) w(x) = f (x)
2
(B) w(x) = f (x + 2)
(C) w(x) = f (x
2)
(D) w(x) = f (x) + 2
(E) None of these
2
2
45. Given (f + g)(x) = 3x
2x + 5 and f (x) = x
2x + 7, determine g(x).
2
2
(A) g(x) = 2x
4x + 12
(B) g(x) = 2x
2
2
2
(C) g(x) = 4x
4x + 12
(D) g(x) =
2x
+ 2
2
(E) g(x) = 2x
4x
2

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