What is the asymptotes of f(x)=(x^2+3)/(x^4+4x^2-5) ?

The asymptotes of f(x)=(x^2+3)/(x^4+4x^2-5) is Vertical: x=-1,x=1,Horizontal: y=0

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asymptotes of f(x)=(x^2+3)/(x^4+4x^2-5)

asymptotes

f (x) = \frac{x ^{2} + 3}{x ^{4} + 4 x ^{2} - 5}

Vertical : x = - 1, x = 1, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 3}{x ^{4} + 4 x ^{2} - 5} : x = - 1, x = 1

Horizontal Asymptotes of

\frac{x ^{2} + 3}{x ^{4} + 4 x ^{2} - 5} : y = 0

Slant Asymptotes of

\frac{x ^{2} + 3}{x ^{4} + 4 x ^{2} - 5} :

None

Vertical : x = - 1, x = 1, Horizontal : y = 0

6 x + 30

f (x) = x - 4 = \frac{3}{y + 1}

- x^{2} - 2 x - 5

- x^{2} - 4 x + 5

- x - 1

What is the asymptotes of f(x)=(x^2+3)/(x^4+4x^2-5) ?
The asymptotes of f(x)=(x^2+3)/(x^4+4x^2-5) is Vertical: x=-1,x=1,Horizontal: y=0