An unnamed private space company has launched a satellite to orbit Mars to study its surface over time. It uses a telescope mirror that is 4m in diameter and focuses light of 600 nm wavelength. Of the orbit radius is 15,000 km and the mirror is pointed directly toward the surface of Mars, what is the diameter of the smallest feature it can resolve on the Martian surface

true tan speed = ang vel x radius

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 .