Question 46430
An asymptote occurs when rither the function returns an impossible value or infinity.
This happens when we try and divide by zero, i.e when 4x-2=0.
4x=2
x=0.5.
You can see the asymptotic behaviour of the line tending towards infinity in the graph below:
{{{ graph( 300, 200, -6, 5, -10, 10, (3x-12)/ (4x-2)) }}} 

I hope this helps, 

Adam