1. Let f (x) = log₂(x) + 2 and g(x) = log₂(x³) - 6. (Show work) Part A: If h(x) = f (x) + g(x), solve for h(x) in simplest form. (4 points) Part B: Determine the solution to the system of nonlinear equations. (6 points) 2. 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 functiong(x) = -2x²+ 9x+ 5, wherexrepresents the distance, in meters, from the coach. The path of the second player's ball can be represented by the functionh(x) = -x²+ 3x+ 10. (Show work) Part A: Find the distances, in meters, in which the two basketball paths will cross. Show all necessary calculations. (4 points) Part B: Letf(x)= g(x)/h(x). Solve forf(x) in simplest form and list all locations of vertical and horizontal asymptotes and holes. Show all necessary calculations. (6 points)