Will give brainliest if right! all of the noble gases have this fact in common: a. they are all radioactive. b. their outer shells are full of electrons. c. they will react chemically with other elements quite easily. d. they are all very common and can be found easily in nature.

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 .