What is the asymptotes of f(x)=(4x^2-16)/(-3x^2+6x) ?

The asymptotes of f(x)=(4x^2-16)/(-3x^2+6x) is Vertical: x=0,Horizontal: y=-4/3

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asymptotes of f(x)=(4x^2-16)/(-3x^2+6x)

asymptotes

f (x) = \frac{4 x ^{2} - 16}{- 3 x ^{2} + 6 x}

Vertical : x = 0, Horizontal : y = - \frac{4}{3}

Solution steps

Vertical asymptotes of

\frac{4 x ^{2} - 16}{- 3 x ^{2} + 6 x} : x = 0

Horizontal Asymptotes of

\frac{4 x ^{2} - 16}{- 3 x ^{2} + 6 x} : y = - \frac{4}{3}

Slant Asymptotes of

\frac{4 x ^{2} - 16}{- 3 x ^{2} + 6 x} :

None

Vertical : x = 0, Horizontal : y = - \frac{4}{3}

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

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

\frac{x ^{2} - 3 x - 4}{x ^{2} - 16}

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

f (x) = \frac{x ^{2} - 6}{36 x - x ^{4}}

What is the asymptotes of f(x)=(4x^2-16)/(-3x^2+6x) ?
The asymptotes of f(x)=(4x^2-16)/(-3x^2+6x) is Vertical: x=0,Horizontal: y=-4/3