Let X be the set of all straight lines in the plane of the form Ln = Rx {n}, for n € Z+ Let Z be the union of all straight lines in the plane thatpass through the origin and has entire slope. This is, let Z =U L' where L = {xx (nx) | xER} Both are subspaces of R².We define g: X→ Z by the equation g(xxn) = (x, nx) Prove that g is continuous and surjective, but g is not a quotient function.