Answer:
[tex]x=6[/tex]
Step-by-step explanation:
The given function is [tex]f(x)=-\frac{1}{x-6}[/tex]
The vertical asymptote occurs at where the function is undefined
We equate the denominator to zero and and solve for x.
[tex]\implies x-6=0[/tex]
We add 6 to both sides to get:
[tex]\implies x-6+=0+6[/tex]
This implies that:
[tex]\implies x=6[/tex]
Therefore the vertical asymptote is [tex]x=6[/tex]
