CO Which of the following would not be a possible function for f (x) and g(x) such that (fog)(x) = - +4? Of (x)= -+4 and g(x) = x Of (x)= =+4 and g(x) = x2 2 Of (x)= -+4 and g(x) = x2 Of (x)= -+4 and g(x) = =z Question 2(Multiple Choice Worth 2 points) (02.04 MC) A restaurant's delivery person can determine the number of miles he can drive in x hours by the function f(x) = x2 + 2x. The number of gallons of gasoline that the delivery person uses for driving y miles can be determined by the function g()) = - If the delivery person works an 8-hour shift, how many gallons of gasoline will he need in his tank? 0 3 0 4 0 5 0 6Determine the domain and range of (g . f)(x) if f (x) = - x2 -9 and g(x) = x + 3. O D: {X E R) and R: (-00, -3) u (3, co) O D: (X ER| x #-6, 0} and R: (-00, -3) u (3, co) O D: {X ER| x #-3, 3} and R: (-00, 2) u (3, co) O D: (X ER| x #-6, -3, 0, 3} and R: (-00, -2) u (2, 0) Question 4(Multiple Choice Worth 2 points) (02.04 MC) Given the following table with selected values of f (x) and g(x), evaluate f (9(4)). Y -3 4 f (x) 4 1 -4 g(x) -6 7 3 O -4 O -2 O 2A clothing store offers customers a holiday sale of 25% off the price of x items. A customer then has an additional 10% off coupon that can be used when checking out. Which of the following functions represents the final price P(x) of the items purchased? O P(x) = 0.025X O P(x) = 0.15x O P(x) = 0.35x O P(x) = 0.675xGiven f (x) = x2 + 6x + 8 and g(x) = x3 + 2x2 - x - 2, find the domain of ( )(x). O {XER| x #-2, -1, 1} O {XER| x #-1, 1} O{XER|x#-4} O {XER} Question 2(Multiple Choice Worth 3 points) (02.03 MC) The volume of a rectangular prism box can be represented by the function V(x) = 2x3 - 7x2 + 3x. If the height of the box is x cm, which of the following can represent the length and width of the container? O 2x + 1 and x + 3 O 2x + 1 and x - 3 O 2x - 1 and x + 3 O 2x - 1 and x - 3Ty f(x) g(x) 10 -10 9 8 -7 -6 -5 -4 -3 -2 1 3 4 5 6 7 8 9 10 The graphs of f(x) = -_xand g(x) = -log2(x + 3) have which of the following features in common? 20 O x-Intercept O Range Oy-Intercept O Vertical asymptote Question 4(Multiple Choice Worth 3 points) (02.02 MC) How many solutions does the system of equations x - y = -4 and y = v2x+3 -2 have? O Infinitely many O0 01 02Question 5(Multiple Choice Worth 3 points) (02 04 MC) Given the following table with selected values of the functions f (x) and g(x), determine f(9(2)) - g(f (-1)). -5 f (x) 11 - 7 -13 g(x) -10 -8 A 14 O-8 O -5 O-2 01 Question 6(Multiple Choice Worth 3 points) (02 03 MC) Given various values of the linear functions f (x) and g(x) in the table, determine the y-intercept of (f - g)(x). f (x] 15 1-7 g x .36 -26 11 14 O (0, 9) O (0, 3) O (0, -3) O (0, -9)Determine the domain of (g . f)(x) if f (x) = x2 + 3x - 5 and g(x) = - 1 x +1 O{xER} O{xER| x #-4, -1, 1} OfxER| x #-4, 1} OfXERI x#-1} Question 8(Multiple Choice Worth 3 points) (02.03 MC) The Scooter Company manufactures and sells electric scooters. Each scooter cost $150 to produce, and the company has a fixed cost of $2,000. The Scooter Company earns a total revenue that can be determined by the function R(x) 400x - 2x2, where x represents each electric scooter sold. Which of the following functions represents the Scooter Company's total profit? O-2x2 - 150x - 2,000 O-2x2 + 250x - 2,000 O-2x2 + 150x - 1,600 O-300x3 - 4,000x2 + 60,000x + 800,000