Answer
Domain: all real numbers $r>1$ or $r<-1$
Range: all real numbers $m(r)>0$
Work Step by Step
To evaluate $m(r)$, we must have $r^2-1>0$. This happens when $r>1$ or $r<-1$. So the domain is all real numbers $r$, such that $r>1$ or $r<-1$.
Since the square root of a number cannot be negative, the range is all positive real numbers, $m(r)>0$.