Question 390964
Study of the function : 

in x=2 singularity, for which y->+oo for x->2+
y->-oo pour x->2-

for x->oo, y->4

inverse function : 3/(y-4)+2=x, singularity in y=4 which are the above asymptots
 
Graph :

{{{ graph( 300, 200, -5, 5, -5, 10, y=3/(x-2)+4, y=4 ) }}}