SOLUTION: what is the equation of the vertical asymptote of the function y= ((x-1)/(x+3))

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Question 147391: what is the equation of the vertical asymptote of the function y=
((x-1)/(x+3))
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical Asymptote:
To find the vertical asymptote, just set the denominator equal to zero and solve for x

x%2B3=0 Set the denominator equal to zero


x=0-3Subtract 3 from both sides


x=-3 Combine like terms on the right side


So the vertical asymptote is x=-3


If we graph y=%28x-1%29%2F%28x%2B3%29, we can visually verify our answers:

Graph of y=%28x-1%29%2F%28x%2B3%29%29 with the vertical asymptote x=-3 (green line)