What is the asymptotes of f(x)=(3x^2-12x)/(5x-20) ?

The asymptotes of f(x)=(3x^2-12x)/(5x-20) is Slant: y= 3/5 x

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asymptotes of f(x)=(3x^2-12x)/(5x-20)

asymptotes

f (x) = \frac{3 x ^{2} - 12 x}{5 x - 20}

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

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} - 12 x}{5 x - 20} :

None

Horizontal Asymptotes of

\frac{3 x ^{2} - 12 x}{5 x - 20} :

None

Slant Asymptotes of

\frac{3 x ^{2} - 12 x}{5 x - 20} : y = \frac{3}{5} x

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

f (x) = \frac{3 x - 9}{x - 3}

\frac{4 x + 8}{x ^{2} + 2 x}

f (x) = \frac{2 ( x ^{2} - 9 )}{x ^{2} - 4}

\frac{2 x}{x ^{2} - 4}

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

What is the asymptotes of f(x)=(3x^2-12x)/(5x-20) ?
The asymptotes of f(x)=(3x^2-12x)/(5x-20) is Slant: y= 3/5 x