A jogger travels a route that has two parts. The first is a displacement of 2.10 km due south, and the second involves a displacement that points due east. The resultant displacement + has a magnitude of 4.70 km. (a) What is the magnitude of , and (b) what is the direction of + as a positive angle relative to due south? Suppose that - had a magnitude of 4.70 km. (c) What then would be the magnitude of , and (d) what is the direction of - relative to due south?

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 .