.Letf:R>]Rs.ndy:RtRbetwofunctionssuchthat f{r]= yfr} for s11 rstionsl numbers 1" E R. Prove that if f and g are both mntilllls, then x] = 9(3) [or all a: E R. . Suppose I : R } IR is continuous and that for all :t. y E R we have fl[m+ y} = Hm] + y}. Prove that x] = lls: for all m E R. Hints: By the method: in the premium homework you shoutd be able to denes that n) = nl) for Mt integers to. Heart thus: that for at! rational numbers 1*, r} = ljr. Apply Problem J of this