What is the asymptotes of (5x^2-9x-2)/(2x^2-3x-2) ?

The asymptotes of (5x^2-9x-2)/(2x^2-3x-2) is Vertical: x=-1/2 ,Horizontal: y= 5/2

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asymptotes of (5x^2-9x-2)/(2x^2-3x-2)

asymptotes

\frac{5 x ^{2} - 9 x - 2}{2 x ^{2} - 3 x - 2}

Vertical : x = - \frac{1}{2}, Horizontal : y = \frac{5}{2}

Solution steps

Vertical asymptotes of

\frac{5 x ^{2} - 9 x - 2}{2 x ^{2} - 3 x - 2} : x = - \frac{1}{2}

Horizontal Asymptotes of

\frac{5 x ^{2} - 9 x - 2}{2 x ^{2} - 3 x - 2} : y = \frac{5}{2}

Slant Asymptotes of

\frac{5 x ^{2} - 9 x - 2}{2 x ^{2} - 3 x - 2} :

None

Vertical : x = - \frac{1}{2}, Horizontal : y = \frac{5}{2}

y = 1 - lo g_{10} (x)

\frac{5 x ^{2}}{x ^{2} - 16}

\frac{13}{x - 4}

+ \frac{6}{x} + 8

f (x) = - 3 lo g_{2} (x - 1)

What is the asymptotes of (5x^2-9x-2)/(2x^2-3x-2) ?
The asymptotes of (5x^2-9x-2)/(2x^2-3x-2) is Vertical: x=-1/2 ,Horizontal: y= 5/2