nickname0097 nickname0097
  • 04-02-2019
  • Mathematics
contestada

Holes
X=

Vertical Asymptotes
X=

Holes X Vertical Asymptotes X class=

Respuesta :

gmany
gmany gmany
  • 04-02-2019

Answer:

x = -9 and x = -10

Step-by-step explanation:

[tex]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[/tex]

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

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