Question 589403
<pre>
Draw the asymptotes:

{{{drawing(400,400,-7,13,-11,9, graph(400,400,-7,13,-11,9),
green(line(1,20,1,-20),line(4,20,4,-20),line(-20,0,20,0)) )}}} 

To get a decent graph, you have to plot lots of points, which
isn't too hard if you have a graphing calculator:

 x   |   y
------------
-7   |-.182 
-6   |-.186 
-5   |-.185
-5/3 |   0
-1   |  .2
 0   | 1.25
.5   | 3.71
1.5  |-7.6
2    |-5.5
3    |-7 
3.2  |-8.30
4.6  | 8.70
5    | 5
6    | 2.3
7    | 1.4
10   |  .648

{{{drawing(400,400,-7,13,-11,9, graph(400,400,-7,13,-11,9),
circle(-7,-2/11,.2),
circle(-6,-13/70,.2),
circle(-5,-5/27,.2),
circle(-5/3,0,.2),
circle(-1,.2,.2),
circle(0,1.25,.2),
circle(.5,26/7,.2),
circle(1.5,-7.6,.2),
circle(2,-5.5,.2),
circle(3,-7,.2),
circle(3.2,-365/44,.2),
circle(4.6,235/27,.2),
circle(5,5,.2),
circle(6,2.3,.2),
circle(7,13/9,.2),
circle(10,35/54,.2),
green(line(1,20,1,-20),line(4,20,4,-20),line(-20,0,20,0)) )}}}

Then draw the graph:

{{{drawing(400,400,-7,13,-11,9, graph(400,400,-7,13,-11,9,(3x+5)/((x-1)(x-4))),
circle(-7,-2/11,.2),
circle(-6,-13/70,.2),
circle(-5,-5/27,.2),
circle(-5/3,0,.2),
circle(-1,.2,.2),
circle(0,1.25,.2),
circle(.5,26/7,.2),
circle(1.5,-7.6,.2),
circle(2,-5.5,.2),
circle(3,-7,.2),
circle(3.2,-365/44,.2),
circle(4.6,235/27,.2),
circle(5,5,.2),
circle(6,2.3,.2),
circle(7,13/9,.2),
circle(10,35/54,.2),
green(line(1,20,1,-20),line(4,20,4,-20),line(-20,0,20,0)) )}}}

Edwin</pre>