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Morgarella [4.7K]
3 years ago
12

Holes X= Vertical Asymptotes X=

Mathematics
1 answer:
eduard3 years ago
7 0

Answer:

<h2>x = -9 and x = -10</h2>

Step-by-step explanation:

f(x)=\dfrac{x^2+11x+18}{x^2+19x+90}\\\\\text{DOMAIN:}\\\\x^2+19x+90\neq0\\\\x^2+9x+10x+90\neq0\\\\x(x+9)+10(x+9)\neq0\\\\(x+9)(x+10)\neq0\iff x+9\neq0\ \wedge\ x+10\neq0\\\\x\neq-9\ \wedge\ x\neq-10

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

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