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

The asymptotes of f(x)=(3x^2+12x)/(-2x^2+2x) is Vertical: x=1,Horizontal: y=-3/2

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

asymptotes

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

Vertical : x = 1, Horizontal : y = - \frac{3}{2}

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 12 x}{- 2 x ^{2} + 2 x} : x = 1

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = 1, Horizontal : y = - \frac{3}{2}

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

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

f (x) = e^{x} - 2

f (x) = \frac{4 x ^{2}}{4 x - 8}

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

What is the asymptotes of f(x)=(3x^2+12x)/(-2x^2+2x) ?
The asymptotes of f(x)=(3x^2+12x)/(-2x^2+2x) is Vertical: x=1,Horizontal: y=-3/2