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

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

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

asymptotes

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

Horizontal : y = 1

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = 1

y = x^{2} + x - 2

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

f (x) = \frac{- 8}{- x + 2}

f (x) = \frac{7}{x - 3}

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

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