Suppose your boss informs you that you have been awarded a 10% raise. (20 points) A. Write a function that describes your new salary, S, as a function of your original salary. p. B. Find the inverse of your function S(p). The next week, your boss announces that due to circumstances beyond her control, all employees will now have their salaries cut by 10%. C. Write a function to determine your latest salary, L, as a function of your original salary, P. D. Areincreasing your salary by 10% and decreasing that subsequent salary by 10% inverse processes? Explain. -1 Consider two functions f(x) and g(X), and suchthat f (x) = g(x). (10 points) -1 Must it alsobe truethat g (x) = f(x)? Whyorwhy not? As a hint, consider how the domains and ranges of functions and their inverses are related. A water tank is leaking. The amount of water in the tank was measured three times after it started to leak. The table shows the measurements. (20 points) Amount of water 1800 1500 1430 (w, in gallons) A Graph the information given in the table. Be sure to label your axes. B. Based on the graph, what model would you choose to fit this data? Explain. C. Using your graph, estimate the amount of water left in the tank after 3 minutes. D. If this pattern were to continue, estimate when the tank will be empty