What is the asymptotes of f(x)=(x^2+8x-9)/(x^2+3x-4) ?

The asymptotes of f(x)=(x^2+8x-9)/(x^2+3x-4) is Vertical: x=-4,Horizontal: y=1

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asymptotes of f(x)=(x^2+8x-9)/(x^2+3x-4)

asymptotes

f (x) = \frac{x ^{2} + 8 x - 9}{x ^{2} + 3 x - 4}

Vertical : x = - 4, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 8 x - 9}{x ^{2} + 3 x - 4} : x = - 4

Horizontal Asymptotes of

\frac{x ^{2} + 8 x - 9}{x ^{2} + 3 x - 4} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 8 x - 9}{x ^{2} + 3 x - 4} :

None

Vertical : x = - 4, Horizontal : y = 1

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

3 - 4 sin (\frac{2}{3} (x - 1))

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

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

f (x) = (x^{2} - 5)

What is the asymptotes of f(x)=(x^2+8x-9)/(x^2+3x-4) ?
The asymptotes of f(x)=(x^2+8x-9)/(x^2+3x-4) is Vertical: x=-4,Horizontal: y=1