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 + 9x + 5, where x represents the distance, in meters, from the coach. The path of the second player's ball can be represented by the function h(x) = –x2 + 3x + 10. Part A: Find the distances, in meters, in which the two basketball paths will cross. Show all necessary calculations. (4 points) Part B: Let f of x equals g of x over h of x Solve for f (x) in simplest form and list all locations of vertical and horizontal asymptotes and holes. Show all necessary calculations. (6 points)