## anonymous one year ago Find all vertical asymptotes of (g/f)(x) g(x)= square root of x-15 (all under square root) f(x)=x^2-2x

1. anonymous

$\left(\frac{g}{f}\right)(x) = \frac{\sqrt{x-15}}{x^2-2x}$Vertical asympttes tell you the restrictions to your functions. They are found by setting the denominator = 0. $x^2-2x=0$$x(x-2)=0$$x=? \\ x-2=0 \iff x=~?$

2. anonymous

x=0 and x=2? does the x under the square root matter at all? @Jhannybean

3. anonymous

No because if x = 15, then our function would = 0, which is perfectly ok.

4. anonymous

Thanks!