What is the asymptotes of f(x)=((x^2-9))/(x-3) ?

The asymptotes of f(x)=((x^2-9))/(x-3) is Slant: y=x+3

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asymptotes of f(x)=((x^2-9))/(x-3)

asymptotes

f (x) = \frac{( x ^{2} - 9 )}{x - 3}

Slant : y = x + 3

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 9}{x - 3} :

None

Horizontal Asymptotes of

\frac{x ^{2} - 9}{x - 3} :

None

Slant Asymptotes of

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

Slant : y = x + 3

f (x) = \frac{9}{x ( x - 9 )}

f (x) = \frac{( x - 8 ) ( x + 1 )}{x ^{2} - 9}

f (x) = \frac{5 x ^{4} - 2 x}{x ^{4} + 32}

f (x) = \frac{x + 7}{x ^{2} - 4}

\frac{25 x ^{2}}{5 x ^{2} + 1}

What is the asymptotes of f(x)=((x^2-9))/(x-3) ?
The asymptotes of f(x)=((x^2-9))/(x-3) is Slant: y=x+3