The function ℎ(𝑥)=𝑥2−𝑥−2𝑥2−𝑥−6h(x)= x 2 −x−6x 2 −x−2​   has a vertical asymptote at x =A.- 2B.6C.3D.- 2 and 3E.- 1 and 2SUBMITarrow_backPREVIOUS

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The function ℎ(𝑥)=𝑥2−𝑥−2𝑥2−𝑥−6h(x)= x 2 −x−6x 2 −x−2​   has a vertical asymptote at x =A.- 2B.6C.3D.- 2 and 3E.- 1 and 2SUBMITarrow_backPREVIOUS
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Solution 1

Para encontrar las asíntotas verticales de la función ( h(x) = \frac{x^2 - x - 6}{x^2 - x - 2} ), debemos identificar los valores de ( x ) que hacen que el denominador sea igual a cero, ya que en esos puntos la función no está definida.

  1. Primero, factorizamos el numerador y el denominador.

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The function ℎ(𝑥)=𝑥2−𝑥−2𝑥2−𝑥−6h(x)= x 2 −x−6x 2 −x−2​   has a vertical asymptote at x =A.- 2B.6C.3D.- 2 and 3E.- 1 and 2SUBMITarrow_backPREVIOUS

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