While warming up for a game, two basketball players shoot balls in parabolic paths. The path...

 

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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) = -2x + 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) = x + 4x + 21. Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations. (4 points) g(x) Part B: Let f (x)= h(x) Solve for f (x) in simplest form and determine all discontinuities. (6 points) 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) = -2x + 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) = x + 4x + 21. Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations. (4 points) g(x) Part B: Let f (x)= h(x) Solve for f (x) in simplest form and determine all discontinuities. (6 points)