What is the asymptotes of (5x^2+1)/(3x-2) ?

The asymptotes of (5x^2+1)/(3x-2) is Vertical: x= 2/3 ,Slant: y= 5/3 x+10/9

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asymptotes of (5x^2+1)/(3x-2)

asymptotes

\frac{5 x ^{2} + 1}{3 x - 2}

Vertical : x = \frac{2}{3}, Slant : y = \frac{5}{3} x + \frac{10}{9}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{5 x ^{2} + 1}{3 x - 2} : y = \frac{5}{3} x + \frac{10}{9}

Vertical : x = \frac{2}{3}, Slant : y = \frac{5}{3} x + \frac{10}{9}

What is the asymptotes of (5x^2+1)/(3x-2) ?
The asymptotes of (5x^2+1)/(3x-2) is Vertical: x= 2/3 ,Slant: y= 5/3 x+10/9