What is the asymptotes of g(x)=(x^2+x-2)/(x^2-4) ?

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

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asymptotes of g(x)=(x^2+x-2)/(x^2-4)

asymptotes

g (x) = \frac{x ^{2} + x - 2}{x ^{2} - 4}

Vertical : x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = 2, Horizontal : y = 1

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

f (x) = \frac{x - 3}{x ^{2} - 10 x + 25}

\frac{x + 3}{x ^{2} + x - 6}

x \cdot e^{x}

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

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