Find the inverse of the function.f(x) = -6 - 7x
A. f-1(x) = - 
- 
B. f-1(x) = 1 - x
C. f-1(x) = - 
+ 
D. f-1(x) = 
- 
Answer: A
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For the given function expressed verbally, give a symbolic representation.To convert x inches to y centimeters, multiply x by 2.54. Let y = f(x).
A. f(x) = x/2.54 B. f(x) = 2.54x C. f(x) = x - 2.54 D. f(x) = 2.54/x
Solve the problem.A company that produces appliances has found that revenue from the sales of the appliances is $50 per appliance, less sales costs of $250. Production costs are $400, plus $40 per appliance. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes P > 0, that is, R - C > 0.(a) Write an expression for revenue, R, letting x represent the production level (number of appliances to be produced.)(b) Write an expression for production costs C in terms of x.(c) Write an expression for profit P, and then solve the inequality P > 0.(d) Describe the solution in terms of the problem.
A. (a) R = 50x - 250;
(b) C = 400 + 40x;
(c) P = (50x - 250) - (400 + 40x) = 5x - 650; 5x > 650; x > 130
(d) To make a profit, more than 130 appliances must be produced and sold.
B. (a) R = 50x + 250;
(b) C = 400 - 40x;
(c) P = (50x + 250) - (400 - 40x) = 10x - 150; 10x > 150; x > 15
(d) To make a profit, more than 15 appliances must be produced and sold.
C. (a) R = 50x - 250;
(b) C = 400 +
Use synthetic division to decide whether the given number is a solution of the given equation.9x3 + x2 + 8x - 9; x = 1
A. Yes B. No
Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.f(x) = x2 - 3x + 4 from x = 1 to x = 5; n = 4
A. 48 B. 38 C. 28 D. 18