1. Find a. (f + g)(x), b. (f - g)(x), c. (fg)(x), and d. (f/g)(x). What is the domain of f/g? f(x) = x2 g(x) = 1 - x 2. Find a. f g, b. g f, and, if possible, c. (f g)(0). 1. f(x) = x2 g(x) = x - 1 2. f(x) = 3x + 5 g(x) = 5 - x 3. Determine the domains of a. f, b. g, and c. f g. Use graphing technology to verify your results. 1. f(x) = g(x) = x2 4. For part a, find f g, g f, and the domain of f g. For part b, use a graphing utility to graph f g and g f. Determine whether f g = g f. 1. f(x) = x-3 g(x) = 3x + 9 5. Find two functions f and g such that (f g)(x) = h(x). (There are many correct answers.) 1. h(x) = (2x + 1)2 2. h(x) = 6. The number of bacteria in a refrigerated food product is given by N(T) = 10T2-20T + 600, for 1 T 20, where T is temperature of the food in degrees Celsius. When the food is removed from the refrigerator, the temperature of the food is given by T(t) = 2t + 1, where t is the time in hours. a. Find the composite function N(T(t)) or (N T)(t) and interpret its meaning in the context of the situation. b. Find (N T)(6) and interpret its meaning. c. Find the time when the bacteria count reaches 800