What is the asymptotes of g(x)=(2x^3)/(3x^2-4) ?

The asymptotes of g(x)=(2x^3)/(3x^2-4) is Vertical: x=-2/(sqrt(3)),x= 2/(sqrt(3)),Slant: y= 2/3 x

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asymptotes of g(x)=(2x^3)/(3x^2-4)

asymptotes

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

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

Solution steps

Vertical asymptotes of

\frac{2 x ^{3}}{3 x ^{2} - 4} : x = - \frac{2}{3}, x = \frac{2}{3}

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

f (x) = 18 + 6 x

y = x^{2} + 4

y = x^{2} - x - 2

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

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

What is the asymptotes of g(x)=(2x^3)/(3x^2-4) ?
The asymptotes of g(x)=(2x^3)/(3x^2-4) is Vertical: x=-2/(sqrt(3)),x= 2/(sqrt(3)),Slant: y= 2/3 x