What is the asymptotes of f(x)=(3x+12)/(2x^2+13x+15) ?

The asymptotes of f(x)=(3x+12)/(2x^2+13x+15) is Vertical: x=-5,x=-3/2 ,Horizontal: y=0

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asymptotes of f(x)=(3x+12)/(2x^2+13x+15)

asymptotes

f (x) = \frac{3 x + 12}{2 x ^{2} + 13 x + 15}

Vertical : x = - 5, x = - \frac{3}{2}, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{3 x + 12}{2 x ^{2} + 13 x + 15} : x = - 5, x = - \frac{3}{2}

Horizontal Asymptotes of

\frac{3 x + 12}{2 x ^{2} + 13 x + 15} : y = 0

Slant Asymptotes of

\frac{3 x + 12}{2 x ^{2} + 13 x + 15} :

None

Vertical : x = - 5, x = - \frac{3}{2}, Horizontal : y = 0

f (x) = \frac{2 x ^{2} + 6 x}{- 4 x ^{2} + 8 x}

f (x) = \frac{x ^{2} - 4 x + 3}{x ^{2} - 5 x + 4}

f (x) = x 8 - x^{2}

f (x) = \frac{x ^{2} - 1}{9 x ^{2} - 30 x}

\frac{x - 4}{2 x + 5}

What is the asymptotes of f(x)=(3x+12)/(2x^2+13x+15) ?
The asymptotes of f(x)=(3x+12)/(2x^2+13x+15) is Vertical: x=-5,x=-3/2 ,Horizontal: y=0