A fluid flows steadily in the x direction through a control volume. Measurements indicate that to cause this flow the force acting on the contents of the control volume is 120 N in the neg- ative x direction. Determine the net rate of flow of linear momen- tum through the control surface.

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 .