Select all of the following statements that are correct. The only difference between microwaves and ultraviolet light is their frequency (or wavelength). Microwaves have a shorter wavelength than visible light waves. Blue light is generally higher in energy than red light. X-Rays travel faster than radio waves when in the same medium.

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 .