What is the asymptotes of f(x)=(x^2+5x-1)/(x-3) ?

The asymptotes of f(x)=(x^2+5x-1)/(x-3) is Vertical: x=3,Slant: y=x+8

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asymptotes of f(x)=(x^2+5x-1)/(x-3)

asymptotes

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

Vertical : x = 3, Slant : y = x + 8

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} + 5 x - 1}{x - 3} :

None

Slant Asymptotes of

\frac{x ^{2} + 5 x - 1}{x - 3} : y = x + 8

Vertical : x = 3, Slant : y = x + 8

\frac{5 x}{3 + x}

x^{2} - 2 x - 8 y - 23 = 0

f (x) = 2 lo g_{2} (x + 5)

f (x) = 2 lo g_{2} (x + 1)

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

What is the asymptotes of f(x)=(x^2+5x-1)/(x-3) ?
The asymptotes of f(x)=(x^2+5x-1)/(x-3) is Vertical: x=3,Slant: y=x+8