Math 112 Final Exam Study Aid Worksheet With Answer Key Page 16
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39Math 112
Final Exam Study Aid
16 of 39
2
x
+ 1
50. Given (f g)(3) = 20 and g(x) =
, find f (3).
2
40
1
(A) f (3) =
(B) f (3) = 5
(C) f (3) =
2
x
+ 1
4
2
(D) f (3) = 10(x
+ 1)
(E) f (3) = 4
51. Given f (x) = 3 + 2x and h(x) =
x, find (f
h) (x).
(A)
3 + 2x
(B) 3 + 2 x
(C)
3 +
2x
(D) 3 x + 2x x
(E) None of these
52. Search and Rescue teams are used in remote areas in the West to find lost people.
Experience has shown the team’s chance of finding an individual is a function of the
distance by which team members are separated. The percentage found for various
separation distances is shown in the table below.
Separation distance (ft) Percent found
20
90
40
80
60
70
80
60
100
50
Find an equation to express the percent found, P , as a function of the separation
distance, d,of the team members.
(A) P = 0.5d + 100
(B) P = 290
0.5d
(C) P = 100
0.5d
(D) P = 90
5d
(E) P = 2d + 50
53. What is the equation of the line PERPENDICULAR to 3y + 2x
3 = 0, passing
through the point (4, 1)?
(A) 2y
3x + 14 = 0
(B) 2y + 3x
10 = 0
(C) 3y + 2x
5 = 0
(D) 3y + 2x + 11 = 0
(E) None of these
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