* Iff: ST is onto and g : T U and h: TU are such that g = f = hf, prove that g = h. *Ifg: ST, h : S T, and if f : T U is 1-1, show that if fog = f h, then g = h. 6. Let S be the set of all real numbers and T the set of all positive reals. Find a 1-1 mapping of S onto T such that f(s1 + 2) = f(s1)f(s2) for all s1, s2 E S.