Question 397830
Please put parentheses wherever necessary...this makes sure that I or other tutors don't question whether you mean {{{f(x) = 1/(x-7)}}} or {{{f(x) = 1/x - 7}}}.


In either case, the vertical asymptote occurs when {{{f(x) = b/0}}} for nonzero b. This means, set the denominator to zero. This can imply x = 7 if {{{f(x) = 1/(x-7)}}} or x = 0 if {{{f(x) = 1/x - 7}}}. In either case there is a nonzero numerator.