What is the asymptotes of (2x^2+7x-15)/(3x^2-14x+15) ?

The asymptotes of (2x^2+7x-15)/(3x^2-14x+15) is Vertical: x= 5/3 ,x=3,Horizontal: y= 2/3

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asymptotes of (2x^2+7x-15)/(3x^2-14x+15)

asymptotes

\frac{2 x ^{2} + 7 x - 15}{3 x ^{2} - 14 x + 15}

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

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 7 x - 15}{3 x ^{2} - 14 x + 15} : x = \frac{5}{3}, x = 3

Horizontal Asymptotes of

\frac{2 x ^{2} + 7 x - 15}{3 x ^{2} - 14 x + 15} : y = \frac{2}{3}

Slant Asymptotes of

\frac{2 x ^{2} + 7 x - 15}{3 x ^{2} - 14 x + 15} :

None

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

f (x) = 3 x^{3} - 5 x^{2} + 6 x + 7

f (x) = \frac{4}{3} x - 7

y = - 4 x - 2

8 - x^{2}

(0, \frac{1}{7}), (- \frac{6}{7}, 0)

What is the asymptotes of (2x^2+7x-15)/(3x^2-14x+15) ?
The asymptotes of (2x^2+7x-15)/(3x^2-14x+15) is Vertical: x= 5/3 ,x=3,Horizontal: y= 2/3