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

Algebra.Com
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)   (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 = 2

We can observe this when wee graph it.




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

Thus the solution

RELATED QUESTIONS

Find the horizontal asymptote of the rational function... (answered by Nate)
FIND THE HORIZONTAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)= 8x-12 0VER... (answered by stanbon)
FIND THE VERTICAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)=8x-12 OVER... (answered by stanbon,funmath)
Find the horizontal asymptote of the rational function f(x)=8x-12/4x-2. My answer is... (answered by Nate)
Find teh horizontal asymptote of the rational function: f(x) = (8x-12)/(4x-2) I... (answered by rapaljer)
PLEASE HELP ME WITH THIS PROBLEM: FIND THE HORIZONTAL ASYMPTOTE OF THE RATIONAL FUNCTION (answered by venugopalramana)
Find the horizontal aymptote of the rational function... (answered by stanbon)
What is the equation of the vertical asymptote and horizontal asymptote of the rational... (answered by Fombitz)
Find the horizontal asymptote, if any of the rational function.... (answered by edjones,Earlsdon)