THIS IS FOR ADVANCED FUNCTIONS PLEASE ANSWER CLEARLY HAND WRITTEN AND STEP BY STEP YOU HAVE 50 MIN

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Question 1 (2 points) If f(2) = 4;f(5) = 8:9(1) = 3 and 9(3) = 2,determine f(g(3)). Question 2 (3 points) Determine the domain of (fg)(x) where f(x) = i and g(x) = 3x + 6. Question 3 (6 points) A frustrated office worker throws his laptop out of his business's highrise office building. The height, h, in meters of the laptop above the ground at t seconds can be modeled by h(r)2125Srz. a. Determine the average rate of change between the third and fourth second of the laptop's flight. b. Estimate the rate at which the laptop hits the ground. Hint: Mt) = 0 Question 4 (5 points) Use the chart below to calculate several average rates of change to help you estimate the instantaneous rate of change for the function f(x) = 2x2 + x at x = 1. Have 4decimal place accuracy in the Jj'Eycolumn. . A m Change m y = Ay . 3y = Avg. Rate of Change Instantaneous rate of change is