u suuvuvn VI Uit umE i given by R = f(g(t)). EXAMPLE 7 An Application of Composition of Functions A ship is traveling at 20 mi/h parallel to a straight shoreline. The ship is 5 mi from shore. It passes a lighthouse at noon. time = noon (a) Express the distance s 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). 5 mi (b) Express d as a function of t, the time elapsed since noon; that is, find g so that d = g(t). (c) Find fog. What does this function represent? time = t FIGURE 5

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