What is the asymptotes of f(x)=(2x^2+18x-20)/(3x^2-27x+60) ?

The asymptotes of f(x)=(2x^2+18x-20)/(3x^2-27x+60) is Vertical: x=4,x=5,Horizontal: y= 2/3

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asymptotes of f(x)=(2x^2+18x-20)/(3x^2-27x+60)

asymptotes

f (x) = \frac{2 x ^{2} + 18 x - 20}{3 x ^{2} - 27 x + 60}

Vertical : x = 4, x = 5, Horizontal : y = \frac{2}{3}

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 18 x - 20}{3 x ^{2} - 27 x + 60} : x = 4, x = 5

Horizontal Asymptotes of

\frac{2 x ^{2} + 18 x - 20}{3 x ^{2} - 27 x + 60} : y = \frac{2}{3}

Slant Asymptotes of

\frac{2 x ^{2} + 18 x - 20}{3 x ^{2} - 27 x + 60} :

None

Vertical : x = 4, x = 5, Horizontal : y = \frac{2}{3}

What is the asymptotes of f(x)=(2x^2+18x-20)/(3x^2-27x+60) ?
The asymptotes of f(x)=(2x^2+18x-20)/(3x^2-27x+60) is Vertical: x=4,x=5,Horizontal: y= 2/3