What is the asymptotes of f(x)=(x^3-2)/(6x^2-5) ?

The asymptotes of f(x)=(x^3-2)/(6x^2-5) is Vertical: x=-sqrt(5/6),x=sqrt(5/6),Slant: y= 1/6 x

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asymptotes of f(x)=(x^3-2)/(6x^2-5)

asymptotes

f (x) = \frac{x ^{3} - 2}{6 x ^{2} - 5}

Vertical : x = - \frac{5}{6}, x = \frac{5}{6}, Slant : y = \frac{1}{6} x

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 2}{6 x ^{2} - 5} : x = - \frac{5}{6}, x = \frac{5}{6}

Horizontal Asymptotes of

\frac{x ^{3} - 2}{6 x ^{2} - 5} :

None

Slant Asymptotes of

\frac{x ^{3} - 2}{6 x ^{2} - 5} : y = \frac{1}{6} x

Vertical : x = - \frac{5}{6}, x = \frac{5}{6}, Slant : y = \frac{1}{6} x

f (x) = \frac{x - 4}{x - 5}

tan (x - \frac{π}{3})

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

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

tan (x - \frac{π}{6})

What is the asymptotes of f(x)=(x^3-2)/(6x^2-5) ?
The asymptotes of f(x)=(x^3-2)/(6x^2-5) is Vertical: x=-sqrt(5/6),x=sqrt(5/6),Slant: y= 1/6 x