110exam2solutions

# 110exam2solutions - Math 110, Section 038 Exam 2...

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Unformatted text preview: Math 110, Section 038 Exam 2 Instructor’s Name: Carlson Student’s Name: SOLUTIONS By signing my name below, I agree that I am following all rules and regulations set forth by the Code of Academic Integrity. Furthermore, I agree that I am following all rules set by my instructor and by the course policy for this exam. This includes ensuring that all calculator programs except possibly EVALUATE and QUADRATIC FORMULA have been deleted. Signature: Date: 1 Directions 1. SHOW YOUR WORK on problems that require justification. Partial credit will only be given for work shown. 2. You may use calculators. Good luck! 1) [10 points] Let f ( x ) = 2 x 2 + 7 and g ( x ) = 3 x +1 . In the following questions, do not simplify your answers. (a) Find f g ( x ) and its domain. (b) Find ( f ◦ g )( x ) and its domain. (c) Find ( f- g )(2). Solutions: (a) f g ( x ) = 2 x 2 + 7 3 x +1 The domain is (-∞ ,- 1) ∪ (- 1 , ∞ ) (b) ( f ◦ g )( x ) = f ( g ( x )) = 2 3 x + 1 2 + 7 The domain is (-∞ ,- 1) ∪ (- 1 , ∞ ) (c) ( f- g )(2) = f (2)- g (2) = 2(2) 2 + 7- 3 2+1 = 8 + 7- 1 = 14 2) [7 points] Determine the slope-intercept form of the line through the points (3 , 2) and (6 ,- 2). Solution: We first find the slope: m =- 2- 2 6- 3 =- 4 3 . Using point-slope form, we have y- 2 =- 4 3 ( x- 3). Rearranging, we have y =- 4 3 x + 6 This is slope-intercept form. 3) [12 points] A retail grocery store has two types of nuts, Brazil nuts and cashews. Brazil nuts sell for \$7 . 00 per pound and cashews sell for \$4 . 75 per pound. How many pounds of Brazil nuts should be mixed with 20 pounds of cashews to make a nut mixture that sells for \$6...
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## This note was uploaded on 06/16/2008 for the course MATH 110 taught by Professor Carlson during the Spring '07 term at Arizona.

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110exam2solutions - Math 110, Section 038 Exam 2...

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