What is the asymptotes of f(x)=(3x^2)/((x-3)(x-1)) ?

The asymptotes of f(x)=(3x^2)/((x-3)(x-1)) is Vertical: x=1,x=3,Horizontal: y=3

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asymptotes of f(x)=(3x^2)/((x-3)(x-1))

asymptotes

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

Vertical : x = 1, x = 3, Horizontal : y = 3

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = 1, x = 3, Horizontal : y = 3

f (x) = \frac{6 x + 15}{2 x + 4}

f (x) = \frac{5 x + 25}{3 x ^{2} + 16 x + 5}

\frac{3 x + 12}{- x ^{2} - 3 x + 4}

f (x) = 3 x^{3} - x^{2}

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

What is the asymptotes of f(x)=(3x^2)/((x-3)(x-1)) ?
The asymptotes of f(x)=(3x^2)/((x-3)(x-1)) is Vertical: x=1,x=3,Horizontal: y=3