Question

For what value of x is the rational expression below undefined x-4/x-6

Answer 1

`x-6 \\eq 0`

And from this condition we have that:

`x \\eq 6`

So then the function is not defined for
`x=6` 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

Explanation:

We assume that we have the following expression:

`(x-4)/(x-6)`

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:

`x-6 \\eq 0`

And from this condition we have that:

`x \\eq 6`

So then the function is not defined for
`x=6` 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