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I'm gonna sing you this song... It's a little messy but...
But first, I want to tell you how to solve for a vertical asymptote.
Let's use the problem: g(x)=7x-13/ x^2-6x-16
To find the vertical asymptote, you want to compare the degree of the top, which is 1, and the degree of the bottom, which is 2. This means that the vertical asymptote is at y=0.
Ha! I lied to you. To find the vertical asymptote, just set the bottom of the fraction equal to 0. x^2-6x-16 factored is (x-8)(x+2)=0, which means that the vertical asymptotes are at x= -2 and 8.
Now, here is my messy song about this lie I just told you... I hope y'all enjoy!
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