If objects with greater mass have a more gravitational pull, why are the largest planets (Jupiter, Saturn, etc.) farther from the sun?

50 inches should be the resultant vector

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement

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 .