Plot[Tooltip[{x  Log [x], (x^1.1)}], {x, .01, 5},Filling->{1->{2}}, FillingStyle -> {Red, Blue}]

Plot[Tooltip[{x Log[x],x^1.1}],{x,.1,10000000000000000},Filling->{1->{2}},FillingStyle->{Red,Blue}]