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What is the equation of the vertical asymptote for the graph below ?
y = 5 + 1 / x + 3

Sagot :

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.
MrRoyalidn

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

Read more about asymptotes at:

https://brainly.com/question/17257427

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