What is the asymptotes of f(x)=(6x^2+x-9)/(x^2+4) ?

The asymptotes of f(x)=(6x^2+x-9)/(x^2+4) is Horizontal: y=6

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asymptotes of f(x)=(6x^2+x-9)/(x^2+4)

asymptotes

f (x) = \frac{6 x ^{2} + x - 9}{x ^{2} + 4}

Horizontal : y = 6

Solution steps

Vertical asymptotes of

\frac{6 x ^{2} + x - 9}{x ^{2} + 4} :

None

Horizontal Asymptotes of

\frac{6 x ^{2} + x - 9}{x ^{2} + 4} : y = 6

Slant Asymptotes of

\frac{6 x ^{2} + x - 9}{x ^{2} + 4} :

None

Horizontal : y = 6

\frac{x + 9}{x ^{2} - 81}

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

f (x) = \frac{( x - 6 )}{( x + 6 )}

1 - x

f (x) = \frac{( 3 + 4 x )}{1 - 5 x}

What is the asymptotes of f(x)=(6x^2+x-9)/(x^2+4) ?
The asymptotes of f(x)=(6x^2+x-9)/(x^2+4) is Horizontal: y=6