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 + 13x + 7, 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 + 21. Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations. (4 points)

Part B: Let f of x is equal to g of x over h of x period Solve for f (x) in simplest form and determine all discontinuities. (6 points)