Lydia proposes to send an interstellar probe off in stages. The first stage, traveling radially outward at 0.600 c relative to Earth, will send off a second stage traveling in the same direction as the first stage at a speed of 0.600 c relative to the first stage. Finally, the second stage will send off a third stage traveling in the same direction at 0.600 c relative to the second stage. Relative to Earth, the speed of the third stage will have a magnitud?

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 .