I have this function

$\displaystyle y = (2x+1)/(x-1)$ where x is a real number not = 1

which i am trying to check if it is surjective.

I solve it:

$\displaystyle x = (y+1)/(y-2) $

Am I correct in saying that this is not surjective due to the fact that it does not have the restriction y not = 2 ?

Thank you