Question 147391
<b> Vertical Asymptote: </b>

To find the vertical asymptote, just set the denominator equal to zero and solve for x


{{{x+3=0}}} Set the denominator equal to zero



{{{x=0-3}}}Subtract 3 from both sides



{{{x=-3}}} Combine like terms on the right side



So the vertical asymptote is {{{x=-3}}}



If we graph {{{y=(x-1)/(x+3)}}}, we can visually verify our answers:


{{{drawing(500,500,-10,10,-10,10,
graph(500,500,-10,10,-10,10,(x-1)/(x+3)),
green(line(-3,-20,-3,20))
)}}} Graph of {{{y=(x-1)/(x+3))}}}  with the vertical asymptote {{{x=-3}}}  (green line)