What is the asymptotes of f(x)=(x^2-4)/(x-3) ?

The asymptotes of f(x)=(x^2-4)/(x-3) is Vertical: x=3,Slant: y=x+3

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asymptotes of f(x)=(x^2-4)/(x-3)

asymptotes

f (x) = \frac{x ^{2} - 4}{x - 3}

Vertical : x = 3, Slant : y = x + 3

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 4}{x - 3} : x = 3

Horizontal Asymptotes of

\frac{x ^{2} - 4}{x - 3} :

None

Slant Asymptotes of

\frac{x ^{2} - 4}{x - 3} : y = x + 3

Vertical : x = 3, Slant : y = x + 3

f (x) = \frac{x + 2}{e ^{x}}

y^{2} = \frac{( x - 2 ) ^{3}}{x ^{2} ( x + 2 )}

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

f (x) = (3 x - 6 x^{3}) e^{- x}

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

What is the asymptotes of f(x)=(x^2-4)/(x-3) ?
The asymptotes of f(x)=(x^2-4)/(x-3) is Vertical: x=3,Slant: y=x+3