Question

A painting company uses the following function to determine theamount of time it takes

for two of their employees to finish a job:

t(x, y) = xy /x + y

where x and y are the times it takes for the individualemployees to do it on their own. Assume

you are a painter and it takes you 4 1

2 hours to paint a house. Write a function t(x)which gives the

time it takes you to paint a house with one other employee. Lookat the graph in an appropriate

viewing window and find the horizontal asymptote of the function.Explain the shape of the graph

and the meaning of this asymptote.