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 ->  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

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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