Find the horizontal and vertical asymptotes of the curve.
after i factored it out and did cancellations I got x/x-6
idk why but i got the answer wrong for both asymptotes when i set x = 0. and y = 0
Hint: Where is $\displaystyle \frac{x}{x-6}$ undefined? Where does it approach infinity? Dividing the numerator and denominator by $\displaystyle x$, we obtain
$\displaystyle \frac{1}{1-\frac{6}{x}}.$
What happens as $\displaystyle x$ approaches $\displaystyle \infty$ or $\displaystyle -\infty$?