Question : Perform the indicated operation for the given f(x) and g(x). : 2163606
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the indicated composite for the pair of functions.
Perform the indicated operation for the given f(x) and g(x).
41) f(x) = x - 3, g(x) = x + 3 Find (fg)(-2).
A) 1
B) -5
C) 4
D) -11
42) f(x) = x - 4, g(x) = -4x2 + 12x + 5 Find (fg)(3).
A) -50
B) -5
C) 35
D) -217
43) f(x) = 3x + 4, g(x) = x - x2 Find (f + g)(-2).
A) 4
B) -4
C) -8
D) 12
44) f(x) = x2, g(x) = 2 - x Find (f - g)(-3).
A) 0
B) 4
C) 45
D) 10
45) f(x) = x2 + 8x - 3, g(x) = √(x) Find (f o g)(25).
A) 42
B) 65
C) 45
D) 62
46) f(x) = 8x - 7, g(x) = 5x - 2 Find (f - g)(x).
A) 3x - 9
B) -3x + 5
C) 13x - 9
D) 3x - 5
47) f(x) = 5 - 4x2, g(x) = -2x2 + 4 Find (f + g)(x).
A) 3x2
B) -6x2 + 9
C) -2x2 + 5
D) -2x2 + 9
48) f(x) = 8x + 13, g(x) = 3x - 1 Find (f o g)(x).
A) 24x + 12
B) 24x + 21
C) 24x + 5
D) 24x + 38
49) f(x) = (x - 2/7), g(x) = 7x + 2 Find (g o f)(x).
A) x + 4
B) x - (2/7)
C) x
D) 7x + 12
50) f(x) = x2 - 9x + 1, g(x) = √(x) Find (f o g)(x).
A) √(x2 - 9x + 1)
B) x - 9√(x) + 1
C) x - 9√(x) + 16
D) x2 - 9x
Solve the problem.
51) Let f(x) compute the time in hours to travel x miles at 58 miles per hour. What does f-1(x) compute?
A) The hours taken to travel x miles
B) The hours taken to travel 58 miles
C) The miles traveled in x hours
D) The miles traveled in 58 hours
52) Let f(x) compute the time in hours to travel x miles at 56 miles per hour. What is the interpretation of f -1(6)?
A) The hours taken to travel 56 miles
B) The miles traveled in 56 hours
C) The miles traveled in 6 hours
D) The hours taken to travel 6 miles
53) Let f(x) compute the cost of a rental car after x days of use at $26 per day. What does f-1(x) compute?
A) The number of days rented for x dollars
B) The cost of rental for x days
C) The cost of rental for 26 days
D) The number of days rented for 26 dollars
54) Let f(x) compute the cost of a rental car after x days of use at $48 per day. What is the interpretation of the solution of f -1(x) = 141?
A) The number of days rented for $48
B) The cost of rental for 141 days
C) The cost of rental for 48 days
D) The number of days rented for $141
55) The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days.
Express (f -1og -1)(x) symbolically.
A) (f -1og -1)(x) = 86,400x
B) (f -1og -1)(x) = (x2/86,400)
C) (f -1og -1)(x) = 86,400x2
D) (f -1og -1)(x) = (x/86,400)
56) To remodel a bathroom, a contractor charges $25 per hour plus material costs, which amount to $3700. Therefore, the total cost to remodel the bathroom is given by f(x) = 25x + 3700 where x is the number of hours the contractor works. Find a formula for f -1(x). What does f -1(x) compute?
A) f -1(x) = (x/25) - 3700; This computes the total cost if the contractor works x hours.
B) f -1(x) = (x/25) - 148; This computes the total cost if the contractor works x hours.
C) f -1(x) = (x/25) - 3700; This computes the number of hours worked if the total cost is x dollars.
D) f -1(x) = (x/25) - 148; This computes the number of hours worked if the total cost is x dollars.
Evaluate the exponential function at the specified value of x.
57) f(x) = 3x , x = 4
A) 81
B) (3/4)
C) 12
D) (1/12)
58) f(x) = 2x, x = 5
A) (2/5)
B) (1/10)
C) 10
D) 32
59) f(x) = 2x , x = -3
A) - (2/3)
B) 6
C) (1/8)
D) (1/6)
60) f(x) = 2x, x = -5
A) -3
B) (1/32)
C) 10
D) (1/10)
