Question

Holes
X=

Vertical Asymptotes
X=

Answer 1

x = -9 and x = -10

Explanation:

`f(x)=(x^2+11x+18)/(x^2+19x+90)\\\\\text{DOMAIN:}\\\\x^2+19x+90\\eq0\\\\x^2+9x+10x+90\\eq0\\\\x(x+9)+10(x+9)\\eq0\\\\(x+9)(x+10)\\eq0\iff x+9\\eq0\ \wedge\ x+10\\eq0\\\\x\\eq-9\ \wedge\ x\\eq-10`

`\\\\\text{Therefore the vertical asymptotes are:}\\\\x=-9\ and\ x=-10.`