What is the asymptotes of f(x)=(x^2-4)/(2x^2+x-6) ?

The asymptotes of f(x)=(x^2-4)/(2x^2+x-6) is Vertical: x= 3/2 ,Horizontal: y= 1/2

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asymptotes of f(x)=(x^2-4)/(2x^2+x-6)

asymptotes

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

Vertical : x = \frac{3}{2}, Horizontal : y = \frac{1}{2}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 4}{2 x ^{2} + x - 6} : x = \frac{3}{2}

Horizontal Asymptotes of

\frac{x ^{2} - 4}{2 x ^{2} + x - 6} : y = \frac{1}{2}

Slant Asymptotes of

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

None

Vertical : x = \frac{3}{2}, Horizontal : y = \frac{1}{2}

What is the asymptotes of f(x)=(x^2-4)/(2x^2+x-6) ?
The asymptotes of f(x)=(x^2-4)/(2x^2+x-6) is Vertical: x= 3/2 ,Horizontal: y= 1/2