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Answer the following questions on a separate sheet of paper. Your answers must also be legible and show complete detail.
1. Given that f(x) = 5x2 and g(x) =3x + 5, determine the following:(a) (f + g)(x)(b) (g - f)(x)(c) (f . g)(x)(d) (f o g)(x)
2. Given that f(x) = 4x2 + 3x - 8 and g(x) = 3x2 - 4x + 5, determine the following:(a) (f . g)(x)(b) (g o f)(x)
3. Determine functions f(x) and g(x) such that (f o g)(x) = h(x) if h(x) = (2x - 10)6.
4. Give an example of a function whose graph is the graph of y =x2 shifted to the right 4 and down 3.
5. Sketch the graphs of y = x2 and y = 0.5(x - 3)2 + 1 on the same axis.
6. Determine an equation of variation for the following: y varies directly as the square of x, and y = 6 when x = 3.
Using the concept of dependent probabilities, determine the odds that you would draw these hands (card combinations) directly from a deck of cards
Kendra pawned her guitar for $100. Her guitar was valued at $150. If Kendra paid the pawnbroker $150. to get her guitar back after one month, what annual percent interest rate did she end up paying?
A factory produces fuses, which are packaged in boxes of 18. Six fuses are selected at random from each box for inspection. The box is rejected if at least one of these six fuses is defective. What is the probability that a box containing nine def..
Zappos is an extensive user of ERP systems to enable its business processes and to coordinate activities among its many offices, healthcare facilities and research centers.
If the phone company can provide only one service currently, which project should it choose?
find the fraction interms of lcm using given fraction.find the fraction in terms of lcm x 1 x2nbsp- x x x 6x -
This assignment provides you with the opportunity to think critically about business ethics, business relationships, leadership, and how each contributes to an organization's overall culture. Write a 500-word reflection paper by addressing each o..
When comparing two population means with an unknown standard deviation you use a t test and you use n-1 degrees of freedom.
Among 459 randomly selected light bulbs tested in a laboratory, 291 lasted more than 500 hours. Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.
Find the decay constant k. What is the half life of the substance?
What societal factors may have caused the U.S. Supreme Court to abandon the rule of stare decisis in the Lawrence v. Texas and Bowers v. Hardwick cases?
The edge of a cube was found to be 40 cm with a possible error of 0.3 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube.
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