What is the asymptotes of (3x^2-2x-1)/(2x^2+3x-2) ?

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

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asymptotes of (3x^2-2x-1)/(2x^2+3x-2)

asymptotes

\frac{3 x ^{2} - 2 x - 1}{2 x ^{2} + 3 x - 2}

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

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

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

6 x^{\frac{2}{3}} - 4 x

f (x) = arctan (- e^{3 x} - 1)

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

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

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