Ah alright, thanks. I was just confused because I got two different graphs in my calculator for sqrt[x/(x-1)] and sqrtx/sqrt(x-1). That is correct though?
The two writings are different. In the first one, you assume that x/(x-1) is positive, so x and x-1 can be both positive, or both negative. In the second one, you assume that x is positive and x-1 is positive, that is to say they're both positive.