What is the asymptotes of ((-x^2+8))/((2x^2-3)) ?

The asymptotes of ((-x^2+8))/((2x^2-3)) is Vertical: x=-sqrt(3/2),x=sqrt(3/2),Horizontal: y=-1/2

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asymptotes of ((-x^2+8))/((2x^2-3))

asymptotes

\frac{( - x ^{2} + 8 )}{( 2 x ^{2} - 3 )}

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

Solution steps

Vertical asymptotes of

\frac{- x ^{2} + 8}{2 x ^{2} - 3} : x = - \frac{3}{2}, x = \frac{3}{2}

Horizontal Asymptotes of

\frac{- x ^{2} + 8}{2 x ^{2} - 3} : y = - \frac{1}{2}

Slant Asymptotes of

\frac{- x ^{2} + 8}{2 x ^{2} - 3} :

None

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

What is the asymptotes of ((-x^2+8))/((2x^2-3)) ?
The asymptotes of ((-x^2+8))/((2x^2-3)) is Vertical: x=-sqrt(3/2),x=sqrt(3/2),Horizontal: y=-1/2