What is the asymptotes of f(x)=(6x^2+1)/(x^2+x+36) ?

The asymptotes of f(x)=(6x^2+1)/(x^2+x+36) is Horizontal: y=6

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asymptotes of f(x)=(6x^2+1)/(x^2+x+36)

asymptotes

f (x) = \frac{6 x ^{2} + 1}{x ^{2} + x + 36}

Horizontal : y = 6

Solution steps

Vertical asymptotes of

\frac{6 x ^{2} + 1}{x ^{2} + x + 36} :

None

Horizontal Asymptotes of

\frac{6 x ^{2} + 1}{x ^{2} + x + 36} : y = 6

Slant Asymptotes of

\frac{6 x ^{2} + 1}{x ^{2} + x + 36} :

None

Horizontal : y = 6

2 sec (\frac{π}{5} x + π)

f (x) = lo g_{e} (\frac{x + 4}{x})

f (x) = 2 x + 1

f (x) = 12 x^{2} - 3 x^{4}

(- 10, 6), (2, - 4)

What is the asymptotes of f(x)=(6x^2+1)/(x^2+x+36) ?
The asymptotes of f(x)=(6x^2+1)/(x^2+x+36) is Horizontal: y=6