What is the asymptotes of f(x)=(-3x^2+9x-6)/(2x^2-8) ?

The asymptotes of f(x)=(-3x^2+9x-6)/(2x^2-8) is Vertical: x=-2,Horizontal: y=-3/2

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asymptotes of f(x)=(-3x^2+9x-6)/(2x^2-8)

asymptotes

f (x) = \frac{- 3 x ^{2} + 9 x - 6}{2 x ^{2} - 8}

Vertical : x = - 2, Horizontal : y = - \frac{3}{2}

Solution steps

Vertical asymptotes of

\frac{- 3 x ^{2} + 9 x - 6}{2 x ^{2} - 8} : x = - 2

Horizontal Asymptotes of

\frac{- 3 x ^{2} + 9 x - 6}{2 x ^{2} - 8} : y = - \frac{3}{2}

Slant Asymptotes of

\frac{- 3 x ^{2} + 9 x - 6}{2 x ^{2} - 8} :

None

Vertical : x = - 2, Horizontal : y = - \frac{3}{2}

f (x) = \frac{3 x ^{2} - 48}{2 x + 8}

y + 1 = + (- \frac{5}{4}) (x - 4)

f (x) = \frac{5 x ^{2} + 49 x + 72}{2 x + 20}

f (x) = \frac{4 x + 4}{x ^{2} + 6 x + 5}

f (x) = \frac{3 x - 6}{x ^{2} - 11 x + 18}

What is the asymptotes of f(x)=(-3x^2+9x-6)/(2x^2-8) ?
The asymptotes of f(x)=(-3x^2+9x-6)/(2x^2-8) is Vertical: x=-2,Horizontal: y=-3/2