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

The asymptotes of f(x)= x/(2x^2-32) is Vertical: x=-4,x=4,Horizontal: y=0

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

asymptotes

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

Vertical : x = - 4, x = 4, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x}{2 x ^{2} - 32} : x = - 4, x = 4

Horizontal Asymptotes of

\frac{x}{2 x ^{2} - 32} : y = 0

Slant Asymptotes of

\frac{x}{2 x ^{2} - 32} :

None

Vertical : x = - 4, x = 4, Horizontal : y = 0

f (x) = \frac{( x ^{2} + x - 6 )}{2 x ^{2} - 18}

f (x) = y (x - 3)^{2} = x^{2} + 9

y = 3 cot (x)

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

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

What is the asymptotes of f(x)= x/(2x^2-32) ?
The asymptotes of f(x)= x/(2x^2-32) is Vertical: x=-4,x=4,Horizontal: y=0