Answer:
[tex] x-6 \neq 0[/tex]
And from this condition we have that:
[tex] x \neq 6[/tex]
So then the function is not defined for [tex] x=6[/tex] and we will have and asymptote in the function for this value of x and would be defined in the rest of the values of x
Step-by-step explanation:
We assume that we have the following expression:
[tex] \frac{x-4}{x-6}[/tex]
So then we have a rational expression and we want to find for which value of x the function is not defined. And we can focus for this case in the denominator since we can't divide by 0. So then we can create the following rule:
[tex] x-6 \neq 0[/tex]
And from this condition we have that:
[tex] x \neq 6[/tex]
So then the function is not defined for [tex] x=6[/tex] and we will have and asymptote in the function for this value of x and would be defined in the rest of the values of x
