SOLUTION: Find the verticle asymptote of the rational function f(x) = 3x-12/4x-2 possible answers: x=1/2 x=3/4 x=2 x=4 please show me an easy way to understand this

Algebra ->  Rational-functions -> SOLUTION: Find the verticle asymptote of the rational function f(x) = 3x-12/4x-2 possible answers: x=1/2 x=3/4 x=2 x=4 please show me an easy way to understand this      Log On


   

Question 72092: Find the verticle asymptote of the rational function f(x) = 3x-12/4x-2
possible answers:
x=1/2
x=3/4
x=2
x=4
please show me an easy way to understand this
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


Find the verticle asymptote of the rational function f(x) = 3x-12/4x-2





Vertical Asymptote refers to a vertical line wherein the graph approaches. remember approaches, it will not touch this line



so if  you have f(x) = 3x-12/4x-2

the vertical asymptote is from the denominator. remember, that the denominator

must not be equal to 0.



      4x - 2 = 0

          4x = 2

           x = 2/4 or 1/2

  the graph approaches x = 1/2



graph+%28400%2C+400%2C+-9%2C+15%2C+-12%2C+18%2C+%283x-12%29%2F%284x-2%29%29



The vertical line is the asymptote of the graph. notice that the graph approaches the vertical line. it will not touch it