What is the asymptotes of f(x)=(x^2+6x+9)/(x^2-9) ?

The asymptotes of f(x)=(x^2+6x+9)/(x^2-9) is Vertical: x=3,Horizontal: y=1

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asymptotes of f(x)=(x^2+6x+9)/(x^2-9)

asymptotes

f (x) = \frac{x ^{2} + 6 x + 9}{x ^{2} - 9}

Vertical : x = 3, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 6 x + 9}{x ^{2} - 9} : x = 3

Horizontal Asymptotes of

\frac{x ^{2} + 6 x + 9}{x ^{2} - 9} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 6 x + 9}{x ^{2} - 9} :

None

Vertical : x = 3, Horizontal : y = 1

f (x) = \frac{3 x ^{2} - x + 11}{5 x}

y = \frac{x ^{2} + 2}{x + 2}

\frac{x}{x + 1}

\frac{x}{x + 4}

f (x) = \frac{9 x + 2}{3 x + 12}

What is the asymptotes of f(x)=(x^2+6x+9)/(x^2-9) ?
The asymptotes of f(x)=(x^2+6x+9)/(x^2-9) is Vertical: x=3,Horizontal: y=1