Question: (02.02, 2.03 HC) While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can

(02.02, 2.03 HC) While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = -2x2+ 11x + 6, where x represents the distance from the coach. The path of the second player's ball can be represented by the function h(x) = -x2 + 4x + 12. Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations. (4 points) Part B: Let f (X) = g (x ) h (x ) Solve for f (x) in simplest form and determine all discontinuities. (6 points)

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