If the disk is released from rest with the small object at the end of a horizontal radius, find the angular speed when the small object is directly below the axis. Express your answer in terms of some or all of the variables mmm, RRR, and the acceleration due to gravity ggg.

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 .

i would say