What is the asymptotes of f(x)=(3x+21)/(2x^2+19x+45) ?

The asymptotes of f(x)=(3x+21)/(2x^2+19x+45) is Vertical: x=-5,x=-9/2 ,Horizontal: y=0

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asymptotes of f(x)=(3x+21)/(2x^2+19x+45)

asymptotes

f (x) = \frac{3 x + 21}{2 x ^{2} + 19 x + 45}

Vertical : x = - 5, x = - \frac{9}{2}, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{3 x + 21}{2 x ^{2} + 19 x + 45} : x = - 5, x = - \frac{9}{2}

Horizontal Asymptotes of

\frac{3 x + 21}{2 x ^{2} + 19 x + 45} : y = 0

Slant Asymptotes of

\frac{3 x + 21}{2 x ^{2} + 19 x + 45} :

None

Vertical : x = - 5, x = - \frac{9}{2}, Horizontal : y = 0

G

\frac{2 x ^{2} - 14 x + 24}{x ^{2} + 6 x - 40}

f (x) = \frac{( x + 8 ) ( x + 5 )}{3 ( x + 5 )}

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

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

What is the asymptotes of f(x)=(3x+21)/(2x^2+19x+45) ?
The asymptotes of f(x)=(3x+21)/(2x^2+19x+45) is Vertical: x=-5,x=-9/2 ,Horizontal: y=0