What is the asymptotes of (-3x^2+21x-36)/(5x-20) ?

The asymptotes of (-3x^2+21x-36)/(5x-20) is Slant: y=-3/5 x+9/5

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asymptotes of (-3x^2+21x-36)/(5x-20)

asymptotes

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20}

Slant : y = - \frac{3}{5} x + \frac{9}{5}

Solution steps

Vertical asymptotes of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} :

None

Horizontal Asymptotes of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} :

None

Slant Asymptotes of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} : y = - \frac{3}{5} x + \frac{9}{5}

Slant : y = - \frac{3}{5} x + \frac{9}{5}

\frac{5 x - 1}{4 x + 2}

\frac{8 x ^{2} - 3}{2 x ^{2} + x}

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

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

\frac{x ^{2} + 2 x - 8}{x + 1}

What is the asymptotes of (-3x^2+21x-36)/(5x-20) ?
The asymptotes of (-3x^2+21x-36)/(5x-20) is Slant: y=-3/5 x+9/5