1. Medicare costs:

The function f(t)= -0.14t^2 + 0.5t + 30.6 models the U.S population in mullions, ages 65 and older, where t represents years after 1990. The function g(t)=0.56t^2 +

12.36t + 105.7 models the total yearly cost of Medicare in billions of dollars, where t represents years after 1990.

a. what does the function g/f represent?

b. find (g/f)(15).

2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the following domain and range.

For example, if you were asked to graph y=x^2+1 using transformations, you would show the graph of y=x^2 and the graph shifted up 1 unit. please do not show only the

final graph.

y=-square root x-6

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