A person is swinging a 6 kg mass attached to a cable in a circular path as shown in the images below. The radius of a circle is 2.3 meters. The mass
has a period of Tr 20 seconds for every revolution. A picture of the
situation is below. Explain which direction the mass would fly if it were let
go at the moment shown in the diagram.

answer: electrons

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 .