Find the horizontal and vertical asymptotes of each curve y=(5+4x)/(x+3)

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Answer 1

http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-algebra/18-rational-functions-finding-horizontal-slant-asymptotes-01

Please review these rules for horizontal asymptotes. Since the exponent of the top function is the same as the bottom function, n=m, the horizontal asymptote is y = 4/1 = 4. You can also find the horizontal asymptote of this function by taking the limit as x-->infinity. 

To find the vertical asymptotes, set the denominator (x=3) equal to zero. Note that this is the method to find vertical asymptotes for rational functions, which is of the form y = p(x)/q(x). 

x + 3 = 0 , so x=-3 is the vertical asymptote.