Which method will correctly determine whether the forces on an object are balanced or unbalanced? add the forces in the horizontal direction to the forces in the vertical direction. add the forces in the horizontal and vertical directions separately. subtract the forces in the horizontal direction from the forces in the vertical direction. subtract the forces in the vertical direction from the forces in the horizontal direction.

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 .