What is the asymptotes of f(x)=(3x^2+7)/(-2x-3) ?

The asymptotes of f(x)=(3x^2+7)/(-2x-3) is Vertical: x=-3/2 ,Slant: y=-3/2 x+9/4

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asymptotes of f(x)=(3x^2+7)/(-2x-3)

asymptotes

f (x) = \frac{3 x ^{2} + 7}{- 2 x - 3}

Vertical : x = - \frac{3}{2}, Slant : y = - \frac{3}{2} x + \frac{9}{4}

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 7}{- 2 x - 3} : x = - \frac{3}{2}

Horizontal Asymptotes of

\frac{3 x ^{2} + 7}{- 2 x - 3} :

None

Slant Asymptotes of

\frac{3 x ^{2} + 7}{- 2 x - 3} : y = - \frac{3}{2} x + \frac{9}{4}

Vertical : x = - \frac{3}{2}, Slant : y = - \frac{3}{2} x + \frac{9}{4}

What is the asymptotes of f(x)=(3x^2+7)/(-2x-3) ?
The asymptotes of f(x)=(3x^2+7)/(-2x-3) is Vertical: x=-3/2 ,Slant: y=-3/2 x+9/4