The heat loss of a glass window varies jointly as the window's area and the difference between the outside and inside temperatures. A window 22 feet by 44 feet loses 12001200 Btu per hour when the temperature outside is 3030degrees° colder than the temperature inside. Find the heat loss through a glass window that is 88 feet by 1616 feet when the temperature outside is 1515° colder than the temperature inside

pe = weightxheight = 2000x1000=2,000,000joules

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .