What is the asymptotes of f(x)=(2x^2-6)/x ?

The asymptotes of f(x)=(2x^2-6)/x is Vertical: x=0,Slant: y=2x

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asymptotes of f(x)=(2x^2-6)/x

asymptotes

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

Vertical : x = 0, Slant : y = 2 x

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} - 6}{x} : x = 0

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{2 x ^{2} - 6}{x} : y = 2 x

Vertical : x = 0, Slant : y = 2 x

6 x + 2 y = 4

f (x) = (\frac{1}{11} (x - 4)^{2} - \frac{6}{11})

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

f (x) = \frac{x}{x ^{2} + 9}

f (x) = \frac{7 a}{( a + 1 ) ( a - 4 )}

What is the asymptotes of f(x)=(2x^2-6)/x ?
The asymptotes of f(x)=(2x^2-6)/x is Vertical: x=0,Slant: y=2x