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Problem 1: Let f(x) = 5x2 - 7x + 8 and g(x) = 1 - 3x.
a. Find the difference function (f - g)(x) and simplify the result. Show work.
b. Find (g - f)(-1). Show work.
c. Find (fg)(-1). Show work.
Problem 2: The cost, in dollars, for a company to produce x widgets is given by C(x) = 4700 + 5.20x for x > 0, and the price-demand function, in dollar per widget, is p(x) = 40 - 0.02x for 0 < x < 2000.
a. Find and interpret C(500).
b. Find and interpret C(500). (Note that C(x) is average cost function.)
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