Luis rushes 40 m towards his truck. He notices he forgot his shoes and returns back to his house. His total travel time is 60 s. What is luis’s average velocity over the 60 s period? And what is luis’s average sped over the 60 s period?

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 .