Every year, new records in track and field events are recorded. let's take a historic look back at some exciting races.

on august 20, 1989, in cologne, west germany, said aouita of morocco also established a world record when he ran the 3000. m run in 7.00 minutes, 29.45 seconds. what was his average speed (in m/s) for the race? remember to include your data, equation, and work when solving this problem.

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 .