What is the asymptotes of f(x)=(3x^2+1)/(x^2+x+9) ?

The asymptotes of f(x)=(3x^2+1)/(x^2+x+9) is Horizontal: y=3

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asymptotes of f(x)=(3x^2+1)/(x^2+x+9)

asymptotes

f (x) = \frac{3 x ^{2} + 1}{x ^{2} + x + 9}

Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 1}{x ^{2} + x + 9} :

None

Horizontal Asymptotes of

\frac{3 x ^{2} + 1}{x ^{2} + x + 9} : y = 3

Slant Asymptotes of

\frac{3 x ^{2} + 1}{x ^{2} + x + 9} :

None

Horizontal : y = 3

- x^{3} + 6 x^{2} - 16

\frac{1}{x + 2} + 3

f (x) = \frac{1}{x + 9}

y = cos (sin (tan (5 x)))

\frac{1}{2}

What is the asymptotes of f(x)=(3x^2+1)/(x^2+x+9) ?
The asymptotes of f(x)=(3x^2+1)/(x^2+x+9) is Horizontal: y=3