What is the asymptotes of f(x)=(5x^2+47x+18)/(3x+27) ?

The asymptotes of f(x)=(5x^2+47x+18)/(3x+27) is Slant: y= 5/3 x+2/3

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asymptotes of f(x)=(5x^2+47x+18)/(3x+27)

asymptotes

f (x) = \frac{5 x ^{2} + 47 x + 18}{3 x + 27}

Slant : y = \frac{5}{3} x + \frac{2}{3}

Solution steps

Vertical asymptotes of

\frac{5 x ^{2} + 47 x + 18}{3 x + 27} :

None

Horizontal Asymptotes of

\frac{5 x ^{2} + 47 x + 18}{3 x + 27} :

None

Slant Asymptotes of

\frac{5 x ^{2} + 47 x + 18}{3 x + 27} : y = \frac{5}{3} x + \frac{2}{3}

Slant : y = \frac{5}{3} x + \frac{2}{3}

f (x) = 5 x^{3} + 8

f (x) = \frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

f (x) = sin (\frac{1}{x})

(- 1.2) (8)

\frac{1}{x - 4} - \frac{1}{6 - x}

What is the asymptotes of f(x)=(5x^2+47x+18)/(3x+27) ?
The asymptotes of f(x)=(5x^2+47x+18)/(3x+27) is Slant: y= 5/3 x+2/3