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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