Two protons that are very far apart are hurled straight at each other, each with an initial kinetic energy of 0.19 mev, where 1 mega electron volt is equal to 1multiply106 multiply (1.6multiply10-19) joules. what is the separation of the protons from each other when they momentarily come to a stop?

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 .