Answer :
Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value). Find the asymptotes for the function . The graph has a vertical asymptote with the equation x = 1.
The equation of the vertical asymptote is x = -3
The function is given as:
[tex]y =\frac{5x +1}{x + 3}[/tex]
Assume the equation of the function is:
[tex]y =\frac{m(x)}{n(x)}[/tex]
So, by comparison;
We have:
[tex]n(x)=x + 3[/tex]
Set n(x) to 0
[tex]x + 3 = 0[/tex]
Subtract 3 from both sides
[tex]x = -3[/tex]
Hence, the equation of the vertical asymptote is x = -3
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