Question 914128
{{{(3x-1)/(x+2)}}} All similar will look somewhat like below...
the idea is to look for asymptotes and x and y- intercepts to sketch properly
Do recommend graphing calculator/software to familiarize yourself with the various types of graphs.
FREE graph software at:  https://www.padowan.dk/download/ 
{{{drawing(300,300,   -10,10,-10,10,  blue(line(-2,10,-2,-10))  ,  
 grid(1),
circle(1/3, 0,0.4),
circle(0, -1/2,0.4),
graph( 300, 300, -10,10,-10,10,0, (3x-1)/(x+2), 3))}}}
...........
(3x^2-1)/(x^2+2)
{{{drawing(300,300,  -10,10,-10,10,    
 grid(1),
circle(0,-.5,0.4),
graph( 300, 300, -10,10,-10,10,0, (3x^2-1)/(x^2+2), 3))}}}
.........
(3x-1)/(x^2+2)
{{{drawing(300,300,  -10,10,-10,10,    
 grid(1),
circle(0,-.5,0.4),
graph( 300, 300, -10,10,-10,10,0, (3x-1)/(x^2+2) ))}}}