Kira is walking. ( D(t) ), given below, is her distance in kilometers from Glen City after ( t ) hours of walking. [ D(t)=10.4-4 t ] Complete the following statements. Let ( D^{-1} ) be the inverse function of ( D ). Take ( x ) to be an output of the function ( D ). That is, ( x=D(t) ) and ( t=D^{-1}(x) ). (a) Which statement best describes ( D^{-1}(x) ) ? The amount of time she has walked (in hours) when she is ( x ) kilometers from Glen City. Her distance from Glen City (in kilometers) after she has walked ( x ) hours. The ratio of the amount of time she has walked (in hours) to her distance from Glen City (in kilometers), ( x ). The reciprocal of her distance from Glen City (in kilometers) after walking ( x ) hours. (b) ( D^{-1}(x)= ) (c) ( D^{-1}(5.2)= )
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So, the correct statement is: "The amount of time she has walked (in hours) when she is x kilometers from Glen City." (b) Show more…
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