What is the asymptotes of f(x)=(3x^2+7)/(x^2+6x) ?

The asymptotes of f(x)=(3x^2+7)/(x^2+6x) is Vertical: x=-6,x=0,Horizontal: y=3

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asymptotes of f(x)=(3x^2+7)/(x^2+6x)

asymptotes

f (x) = \frac{3 x ^{2} + 7}{x ^{2} + 6 x}

Vertical : x = - 6, x = 0, Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 7}{x ^{2} + 6 x} : x = - 6, x = 0

Horizontal Asymptotes of

\frac{3 x ^{2} + 7}{x ^{2} + 6 x} : y = 3

Slant Asymptotes of

\frac{3 x ^{2} + 7}{x ^{2} + 6 x} :

None

Vertical : x = - 6, x = 0, Horizontal : y = 3

f (x) = \frac{x + 2}{x ^{2} + x - 20}

f (x) = ∣ x^{2} - 3 ∣

\frac{- 3 x ^{3} + 2 x ^{2} - 6}{x - 10}

f (x) = \frac{4}{2 x - 3}

\frac{x ^{2} + 11 x + 18}{2 x + 1}

What is the asymptotes of f(x)=(3x^2+7)/(x^2+6x) ?
The asymptotes of f(x)=(3x^2+7)/(x^2+6x) is Vertical: x=-6,x=0,Horizontal: y=3