Rutherford's theory was identified by
o using a beam of particles and detecting the scattering of the particles after they hit gold foil.
holding a magnet next to a beam of electrons and carefully analyzing the results.
o using scanning tunneling micrograph images of atoms.
o using only the experimental results of other scientists.
intro

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 .