Question

Write the equation of the vertical asymptote for the function, y = In(x-1). Use your calculator to graph the function for you to view

Answer 1

$y=\ln (x-1)\\ D:x\ \textgreater \ 1\\\\ \displaystyle \lim_{x\to1^+}\ln (x-1)=\ln 0^+=-\infty$

So the asymptote is $x=1$. This is right-sided asymptote. The left-sided doesn't exist because of the domain.