What is the asymptotes of f(x)=(2x^2+2x-12)/(3x-6) ?

The asymptotes of f(x)=(2x^2+2x-12)/(3x-6) is Slant: y= 2/3 x+2

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asymptotes of f(x)=(2x^2+2x-12)/(3x-6)

asymptotes

f (x) = \frac{2 x ^{2} + 2 x - 12}{3 x - 6}

Slant : y = \frac{2}{3} x + 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 2 x - 12}{3 x - 6} :

None

Horizontal Asymptotes of

\frac{2 x ^{2} + 2 x - 12}{3 x - 6} :

None

Slant Asymptotes of

\frac{2 x ^{2} + 2 x - 12}{3 x - 6} : y = \frac{2}{3} x + 2

Slant : y = \frac{2}{3} x + 2

f (x) = \frac{x ^{2} - x - 6}{x ^{2} - 3 x - 4}

f (x) = \frac{x ^{2} + 3 x + 1}{x ^{2} + 5 x + 6}

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

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

f (x) = 5^{x - 6} + 5

What is the asymptotes of f(x)=(2x^2+2x-12)/(3x-6) ?
The asymptotes of f(x)=(2x^2+2x-12)/(3x-6) is Slant: y= 2/3 x+2