M115 II blue06Fall - MATH 115 Fall 06 EXAM II -Blue PAGE 1...

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MATH 115 – Fall 06 EXAM II -Blue PAGE 1 The following 14 multiple choice questions are worth 5 points each. 1. Let ( 29 2 8 f x x = - and ( 29 4 g x x = + . Determine ( 29 ( 29 f g x o and its domain. a. ( 29 ( 29 [ 29 2 4 ; : 2, f g x x D = - o b. ( 29 ( 29 [ 29 2 4 ; : 4, f g x x D = - - o c. ( 29 ( 29 [ 29 4; : 4, f g x x D = - - o d. ( 29 ( 29 ( 29 4; : , f g x x D = - - o e. ( 29 ( 29 ( 29 [ 29 2 8 4 ; : 4, f g x x D = - + - o 2. Suppose that f and g are defined by the following sets of ordered pairs: f : { (3,5), (5,11), (7,10), (11,12)} g : { (2,5), (4,11), (5,6), (12,14) } Determine the value of ( 29 1 (11). g f - o a. 2 d. 6 b. 12 e. 4 c. 14 3. Determine the inverse of: ( ) , 0 x f x b for a a = + . a. 1 1 ( ) a f x x b - = + d. 1 ( ) f x ax b - = - b. 1 ( ) a f x b x - = - e. 1 ( ) f x x ab - = - c. 1 ( ) f x ax ab - = -
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MATH 115 EXAM II-Blue PAGE 2 4. The figure below shows a rectangle with two vertices on a semi- circle of radius 4 and two vertices on the x-axis. Let P(x,y) be the vertex that lies in the first quadrant. Express the perimeter of the rectangle, A , as a function of x . a. ( 29 3 32 2 A x x x = - d. ( 29 2 4 2 16 A x x x = + - b. ( 29
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M115 II blue06Fall - MATH 115 Fall 06 EXAM II -Blue PAGE 1...

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