10. [-/1 Points] DETAILS A ship is moving at a speed of 40 km/h parallel to a straight shoreline. The ship is 6 km from shore, and it passes a lighthouse at noon. (a) Express the distance s (in km) between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon; that is, find f so that s = f(d). s = f (d ) = (b) Express d (in km) as a function of t (in hours), the time elapsed since noon; that is, find g so that d = g(t). d = g(t) = km (c) Find f . g. ( F . g ) ( t ) = What does this function represent? O This function represents time elapsed since noon as a function of the distance between the lighthouse and the ship. This function represents the distance between the lighthouse and the ship as a function of the time elapsed since noon. Need Help? Read It Watch It 11. [-/1 Points] DETAILS SCALCET9 1.3.067. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) If g(x) = 3x + 1 and h(x) = 9x2+ 6x + 8, find a function f such that f . g = h. (Think about what operations you would have to perform on the formula for g to end up with the formula for h. ) f ( x ) = ( b ) If f ( x ) = 2x + 7 and h(x) = 2x2 + 2x + 5, find a function g such that f . g = h. 9 ( x ) =