Check all that apply. A conservative force permits a two-way conversion between kinetic and potential energies. The work done by a nonconservative force depends on the path taken. A nonconservative force permits a two-way conversion between kinetic and potential energies. The work done by a conservative force depends on the path taken. A potential energy function can be specified for a conservative force. A potential energy function can be specified for a nonconservative force.

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 .