Suppose that you take a 10 kg mass on the surface of the earth and then place it on the moon. What will the mass of the object on the moon be?

10 kg

Explanation:

The mass of an object does not change even if the amount of gravtiy changes.

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 .