Lesson 14-Quiz 3 (18 points) 1. Let f (x) = x2 + 2 andg(x) = -. Find fog and go f . (2 pts.) 2. The graph of a function f(x) is shown below. Sketch the graph of each of the following. (1 pt. each) a) f(2x) b) 2f(x) C) f(-3x) d) -f(-x) 3. A circular oil spill has been created by a ship. As the ship leaks oil, the radius of the spill is given by the function r(t) = 2t + 1, where t is the time since the spill began. Find the area of the spill as a function of time. (1 pt.) 4. Sketch the graph of a function that is not one-to-one. (1 pt.) 5. Determine if the function h (x) = J- x, if x 50 Vx , if x > is one-to-one. Explain your answer. (1 pt.) 6. For each of the following functions, find the inverse function. Sketch both the graph of the function and its inverse on the same xy-plane. (3 pts. each) a) f ( x ) = - x + 2 b) g (x ) = x '+ 2 , x 2 0