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

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

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

asymptotes

f (x) = \frac{2 x ^{2} + 1}{3 x - 5}

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

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