SOLUTION: find the vertical asymptote of the rational function f(x)=3x-12/ 4x-2

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Question 46430: find the vertical asymptote of the rational function f(x)=3x-12/ 4x-2
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
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%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%283x-12%29%2F+%284x-2%29%29+
I hope this helps,
Adam