Question 1054733
(x^2+x-2)/(x-1)
(x-1)(x+2)/(x-1)
It is undefined when x=1 (there is a hole in the graph, meaning that the function is not going to infinity or to minus infinity).  The graph alas doesn't show it here.
{{{graph(300,300,-10,10,-10,10,(x^2+x-2)/(x-1))}}}
{{{graph(300,300,0,2,-10,10,(x^2+x-2)/(x-1))}}}