A planet with mass M and radius R has gravitational field g at the surface of the planet. In terms of g, what is the gravitational field at the surface of a planet with mass 3M and radius 3R?

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 .

54 degrees incident angle = reflected angle

angle is from normal turned to line of ray