Respuesta :

Answer:

x = 6

Step-by-step explanation:

A vertical asymptote is a vertical line going through the x-axis at an x-value that x is not actually allowed to have.

In this case, we have a 'rational' function, meaning there is a 'ratio' or fraction involving the variable x.

With these 'rational' or fractional expressions, we always have to watch out to make sure we never have a denominator equal to zero, because division by zero is not defined. It is meaningless.

The denominator x-6 will equal zero if x is 6, so x cannot actually ever be 6.

That is where the vertical asymptoe goes: a vertical line with the equation x = 6.

The value of x is 6.

The following information should be considered:

  • A vertical asymptote is a vertical line that gone via the x-axis at an x-value where x is not actually allowed to have.
  • In the given case,  it have a rational function, that means there is a ratio or fraction involving the variable x.
  • The denominator x-6 will equal zero in the case when x is 6, so x cannot actually ever be 6.
  • So,  where the vertical asymptoe goes: a vertical line with the equation x = 6.

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