What is the asymptotes of (3x^2+x-4)/(2x^2-5x) ?

The asymptotes of (3x^2+x-4)/(2x^2-5x) is Vertical: x=0,x= 5/2 ,Horizontal: y= 3/2

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asymptotes of (3x^2+x-4)/(2x^2-5x)

asymptotes

\frac{3 x ^{2} + x - 4}{2 x ^{2} - 5 x}

Vertical : x = 0, x = \frac{5}{2}, Horizontal : y = \frac{3}{2}

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + x - 4}{2 x ^{2} - 5 x} : x = 0, x = \frac{5}{2}

Horizontal Asymptotes of

\frac{3 x ^{2} + x - 4}{2 x ^{2} - 5 x} : y = \frac{3}{2}

Slant Asymptotes of

\frac{3 x ^{2} + x - 4}{2 x ^{2} - 5 x} :

None

Vertical : x = 0, x = \frac{5}{2}, Horizontal : y = \frac{3}{2}

f (x) = \frac{1}{4 x - 16}

\frac{x ^{2} + 1}{x ^{2} - 4}

\frac{2 ( x ^{2} - 9 )}{x ^{2} - 4}

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

f (x) = \frac{4 x ^{2} - 9}{x + 5}

What is the asymptotes of (3x^2+x-4)/(2x^2-5x) ?
The asymptotes of (3x^2+x-4)/(2x^2-5x) is Vertical: x=0,x= 5/2 ,Horizontal: y= 3/2