What is the asymptotes of (x^2+x-6)/(x-3) ?

The asymptotes of (x^2+x-6)/(x-3) is Vertical: x=3,Slant: y=x+4

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asymptotes of (x^2+x-6)/(x-3)

asymptotes

\frac{x ^{2} + x - 6}{x - 3}

Vertical : x = 3, Slant : y = x + 4

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2} + x - 6}{x - 3} : y = x + 4

Vertical : x = 3, Slant : y = x + 4

f (x) = \frac{- 2 - 7 x}{3 x - 1}

\frac{x - 3}{x ^{2} - 1}

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

f (x) = 2 x^{3} + 3 x^{2} - 1

f (x) = \frac{1}{[ x + 3 ]}

What is the asymptotes of (x^2+x-6)/(x-3) ?
The asymptotes of (x^2+x-6)/(x-3) is Vertical: x=3,Slant: y=x+4