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3 years ago

Holes X= Vertical Asymptotes X=

Mathematics

1 answer:

eduard3 years ago

7 0

Answer:

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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