Question 929599
S(x)={{{((2x-1) (x+3))/((3x-1) (x-4)) = (2x^2 + 2x - 3)/(3x^2 -13x + 4) }}}
as x gets large S(x) approaches 2/3
Vertical asymptotes: x = 1/3  and x = 4
{{{drawing(300,300,    -6, 6, -6, 6,  blue(line(1/3,6,1/3,-6)) ,blue(line(4,6,4,-6)) ,
 grid(1),
circle(0, -.75,0.2),
circle(-3,0,0.2),
circle(.5,0,0.2),
graph( 300, 300,  -6, 6, -6, 6,  0, ((2x-1) (x+3))/((3x-1) (x-4)) ))}}}