The pilot of an airplane notes that the compass indicates a heading due west. the airplane's speed relative to the air is 130 km/h. the air is moving in a wind at 35.0 km/h toward the north. find the velocity of the airplane relative to the ground.

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 .