These range function problems are really tricky!
Find the range of the function \[f(x) = \frac{x}{(x - 1)} + 2.\]
This simplifies to ( x + 2x - 2) / ( x -1) = (3x -2) / ( x -1)
We have a horizontal asymptote at y= (3x/ x) = 3
The range is [(-inf , 3) U ( 3 , inf)