Order Relations(a) Show that the map  of Example 9 is order preserving.(b) Show that the e...

Order Relations

(a) Show that the map  of Example 9 is order preserving.

(b) Show that the equation g(y) = 2y/[1 + (1 + 4y2)l/2] defines a function  that is both a left and a right inverse for f.