What is the asymptotes of f(x)=(5x^4-2x)/(x^4+32) ?

The asymptotes of f(x)=(5x^4-2x)/(x^4+32) is Horizontal: y=5

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asymptotes of f(x)=(5x^4-2x)/(x^4+32)

asymptotes

f (x) = \frac{5 x ^{4} - 2 x}{x ^{4} + 32}

Horizontal : y = 5

Solution steps

Vertical asymptotes of

\frac{5 x ^{4} - 2 x}{x ^{4} + 32} :

None

Horizontal Asymptotes of

\frac{5 x ^{4} - 2 x}{x ^{4} + 32} : y = 5

Slant Asymptotes of

\frac{5 x ^{4} - 2 x}{x ^{4} + 32} :

None

Horizontal : y = 5

f (x) = \frac{x + 7}{x ^{2} - 4}

\frac{25 x ^{2}}{5 x ^{2} + 1}

y = - 3 (x - 2)^{2} + 2

\frac{7 x}{x ^{2} - 36}

\frac{3}{x + 7}

What is the asymptotes of f(x)=(5x^4-2x)/(x^4+32) ?
The asymptotes of f(x)=(5x^4-2x)/(x^4+32) is Horizontal: y=5