What is the asymptotes of f(x)=(2x-3)/(12x^2+5x-3) ?

The asymptotes of f(x)=(2x-3)/(12x^2+5x-3) is Vertical: x=-3/4 ,x= 1/3 ,Horizontal: y=0

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asymptotes of f(x)=(2x-3)/(12x^2+5x-3)

asymptotes

f (x) = \frac{2 x - 3}{12 x ^{2} + 5 x - 3}

Vertical : x = - \frac{3}{4}, x = \frac{1}{3}, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{2 x - 3}{12 x ^{2} + 5 x - 3} : x = - \frac{3}{4}, x = \frac{1}{3}

Horizontal Asymptotes of

\frac{2 x - 3}{12 x ^{2} + 5 x - 3} : y = 0

Slant Asymptotes of

\frac{2 x - 3}{12 x ^{2} + 5 x - 3} :

None

Vertical : x = - \frac{3}{4}, x = \frac{1}{3}, Horizontal : y = 0

\frac{x ^{2}}{sin ^{2} ( 6 x )}

y = x^{2} - 9

∣ 3 x - 5 ∣

f (x) = \frac{3 x - 1}{x ^{2} + 16}

f (x) = 4 x^{3} - 5 x^{2} - 4 x

What is the asymptotes of f(x)=(2x-3)/(12x^2+5x-3) ?
The asymptotes of f(x)=(2x-3)/(12x^2+5x-3) is Vertical: x=-3/4 ,x= 1/3 ,Horizontal: y=0