Why does the sun gravitationally dominate all other objects in the solar system?
a. the sun is by far the most massive object in the solar system.
b. the sun is the closest object to planet earth.
c. the sun moves at a greater speed than any of the other objects in the solar system.
d. the sun is by far the brightest object in the solar system?

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 .