5. At around noon the store roof appears to have stopped leaking, so an employee removes the
bucket that was catching the water and does not replace it. Overnight it begins to rain again, and
water starts leaking from the ceiling onto the floor, again creating a circular puddle. The hole in
the roof is larger this time, so at each time, t, in minutes, the radius of the puddle increases by
0.25 cm. Write a composition of functions to represent the area of the puddle as a function of
time.
6. Look at the function you wrote for question 5. Does this function have an inverse? If so, what
is it? Is the inverse a function? Show your work and explain your reasoning.