A block initially at rest slides down a frictionless inclined plane from a height h. It reaches the bottom of the inclined plan with a final speed v. To attain a final speed 4v, it should fall from a height

beta is electron from nucleus

something from nucleus has changed, but charge must be same for cons of charge

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 .