The function f(t) represents water going into a swimming poolwith respect to the number of hours(t) water is flowing in where(t)represents time.f(t)=t squared +8t+9
There is a leak in the pool and it’s losing water at a raterepresented by d(t)
d(t)=t squared +11t+4
a. Write a function to represent the amount of water in the poolusing the two functions.
b. Use the new function w(t) to determine if the pool will leak allof the water.
c. If the pool will drain of all water, how much time will ittake?
d. Will f(t) and d(t) intersect on a graph? Explain what it meansif they do.
e. What is the domain of f(t),d(t) , and w(t). Explain youranswer.
