The planet Tatooine has a mass m and is unusual in that it orbits two stars. The larger of the two stars has mass 1634m and travels in a circle of radius R. The smaller star has mass 9m and travels in a circle of radius 5R . Tatooine itself travels around these two stars in a circular orbit of radius 11 R. Once in a life cylce, Tatooine and both stars align as indicated in the diagram below. For simplicity, assume all three orbits are centered on the origin. Required:
Calculate the magnitude of the net force acting on the planet Tatooine.

i believe the answer is a hope it and is correct

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 .

where is the