What is the asymptotes of y=(3x^2)/((x^2-16)) ?

The asymptotes of y=(3x^2)/((x^2-16)) is Vertical: x=-4,x=4,Horizontal: y=3

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asymptotes of y=(3x^2)/((x^2-16))

asymptotes

y = \frac{3 x ^{2}}{( x ^{2} - 16 )}

Vertical : x = - 4, x = 4, Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2}}{x ^{2} - 16} : x = - 4, x = 4

Horizontal Asymptotes of

\frac{3 x ^{2}}{x ^{2} - 16} : y = 3

Slant Asymptotes of

\frac{3 x ^{2}}{x ^{2} - 16} :

None

Vertical : x = - 4, x = 4, Horizontal : y = 3

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

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

f (x) = \frac{3 x - 1}{2 - 5 x}

\frac{x ^{2} - 16 x}{x ^{2} - 16}

f (x) = \frac{x - 1}{x ^{2} - 5 x + 6}

What is the asymptotes of y=(3x^2)/((x^2-16)) ?
The asymptotes of y=(3x^2)/((x^2-16)) is Vertical: x=-4,x=4,Horizontal: y=3