What is the asymptotes of f(x)=(5x^3-8)/(4x^2+5x) ?

The asymptotes of f(x)=(5x^3-8)/(4x^2+5x) is Vertical: x=-5/4 ,x=0,Slant: y= 5/4 x-25/16

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asymptotes of f(x)=(5x^3-8)/(4x^2+5x)

asymptotes

f (x) = \frac{5 x ^{3} - 8}{4 x ^{2} + 5 x}

Vertical : x = - \frac{5}{4}, x = 0, Slant : y = \frac{5}{4} x - \frac{25}{16}

Solution steps

Vertical asymptotes of

\frac{5 x ^{3} - 8}{4 x ^{2} + 5 x} : x = - \frac{5}{4}, x = 0

Horizontal Asymptotes of

\frac{5 x ^{3} - 8}{4 x ^{2} + 5 x} :

None

Slant Asymptotes of

\frac{5 x ^{3} - 8}{4 x ^{2} + 5 x} : y = \frac{5}{4} x - \frac{25}{16}

Vertical : x = - \frac{5}{4}, x = 0, Slant : y = \frac{5}{4} x - \frac{25}{16}

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

f (x) = 7 + (4 + x)^{\frac{1}{2}}

f (x) = - x + 9 - 6

f (x) = \frac{x + 9}{x + 1}

f (x) = x + 17

What is the asymptotes of f(x)=(5x^3-8)/(4x^2+5x) ?
The asymptotes of f(x)=(5x^3-8)/(4x^2+5x) is Vertical: x=-5/4 ,x=0,Slant: y= 5/4 x-25/16