Four point charges have the same magnitude of 2.52 10-12 c and are fixed to the corners of a square that is 3.90 cm on a side. three of the charges are positive and one is negative. determine the magnitude of the net electric field that exists at the center of the square.

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 .