SOLUTION: Find the horizontal asymptote of the rational function: f(x)= 8x-12/4x-2

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Question 92557This question is from textbook Algebra and Trigonometry
: Find the horizontal asymptote of the rational function: f(x)= 8x-12/4x-2 This question is from textbook Algebra and Trigonometry

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The horizontal asymptote is found by dividing the leading terms, so the asymptote is given by:

y = (numerator's leading coefficient) / (denominator's leading coefficient)


So here the leding term in the numerator is 8 and that in the denominator is 4.


So substituing in the above formula we get:


y+=+8%2F4

==> y = 2

We can observe this when wee graph it.


graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28%288x+-+12%29%2F%284x+-+2%29%29%29

Here in the graph we observe that the two lines (in the graph) makes the horizontal asymptote at y = 2...

Thus the solution