SOLUTION: Find the horizontal asymptote of the rational function f(x)= 8x-12 divided by 4x-2. I came up with y=4 but I'm not to sure that is right. thanks for any help given.

Algebra ->  Rational-functions -> SOLUTION: Find the horizontal asymptote of the rational function f(x)= 8x-12 divided by 4x-2. I came up with y=4 but I'm not to sure that is right. thanks for any help given.      Log On


   

Question 43927This question is from textbook Algebra and Trigonometry with Analytic Geometey
: Find the horizontal asymptote of the rational function f(x)= 8x-12 divided by 4x-2. I came up with y=4 but I'm not to sure that is right. thanks for any help given. This question is from textbook Algebra and Trigonometry with Analytic Geometey

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+%288x-12%29%2F%284x-2%29+
+y%284x-2%29+=+8x-12+
+4xy-2y+=+8x-12+
+4xy-2y-8x+=+-12+
+4xy-8x+=+2y-12+
+x%284y-8%29+=+2y-12+
+x+=+%282y-12%29%2F%284y-8%29+

So, this version says that when 4y-8=0 we have the value of y for the asymptote.

4y = 8
y = 8/4
y = 2

jon