What is the asymptotes of f(x)=(x^3-25)/(x^2+2x-15) ?

The asymptotes of f(x)=(x^3-25)/(x^2+2x-15) is Vertical: x=-5,x=3,Slant: y=x-2

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asymptotes of f(x)=(x^3-25)/(x^2+2x-15)

asymptotes

f (x) = \frac{x ^{3} - 25}{x ^{2} + 2 x - 15}

Vertical : x = - 5, x = 3, Slant : y = x - 2

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 25}{x ^{2} + 2 x - 15} : x = - 5, x = 3

Horizontal Asymptotes of

\frac{x ^{3} - 25}{x ^{2} + 2 x - 15} :

None

Slant Asymptotes of

\frac{x ^{3} - 25}{x ^{2} + 2 x - 15} : y = x - 2

Vertical : x = - 5, x = 3, Slant : y = x - 2

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

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

f (x) = 5 x + arctan (5 x)

f (x) = \frac{( 5 x ^{2} + 3 )}{( x ^{2} - 1 )}

\frac{x ^{2} - 1}{x ^{2} - 4} + 1

What is the asymptotes of f(x)=(x^3-25)/(x^2+2x-15) ?
The asymptotes of f(x)=(x^3-25)/(x^2+2x-15) is Vertical: x=-5,x=3,Slant: y=x-2