What is the asymptotes of f(x)=(5x^2)/((x^2+16)) ?

The asymptotes of f(x)=(5x^2)/((x^2+16)) is Horizontal: y=5

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asymptotes of f(x)=(5x^2)/((x^2+16))

asymptotes

f (x) = \frac{5 x ^{2}}{( x ^{2} + 16 )}

Horizontal : y = 5

Solution steps

Vertical asymptotes of

\frac{5 x ^{2}}{x ^{2} + 16} :

None

Horizontal Asymptotes of

\frac{5 x ^{2}}{x ^{2} + 16} : y = 5

Slant Asymptotes of

\frac{5 x ^{2}}{x ^{2} + 16} :

None

Horizontal : y = 5

\frac{6 x ^{2}}{x ^{2} - 4}

\frac{x ^{2}}{4 x ^{2} - 1}

f (x) = (\frac{cos ( \frac{1}{x} )}{x ^{2}})

\frac{6 x ^{2}}{x ^{2} - 1}

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

What is the asymptotes of f(x)=(5x^2)/((x^2+16)) ?
The asymptotes of f(x)=(5x^2)/((x^2+16)) is Horizontal: y=5