What is the asymptotes of (4x^2+6x-4)/(2x^2+13x+15) ?

The asymptotes of (4x^2+6x-4)/(2x^2+13x+15) is Vertical: x=-5,x=-3/2 ,Horizontal: y=2

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asymptotes of (4x^2+6x-4)/(2x^2+13x+15)

asymptotes

\frac{4 x ^{2} + 6 x - 4}{2 x ^{2} + 13 x + 15}

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

Solution steps

Vertical asymptotes of

\frac{4 x ^{2} + 6 x - 4}{2 x ^{2} + 13 x + 15} : x = - 5, x = - \frac{3}{2}

Horizontal Asymptotes of

\frac{4 x ^{2} + 6 x - 4}{2 x ^{2} + 13 x + 15} : y = 2

Slant Asymptotes of

\frac{4 x ^{2} + 6 x - 4}{2 x ^{2} + 13 x + 15} :

None

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

y = 4 - x^{2}

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

\frac{1}{2} (x - 3)

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

f (x) = csc^{3} (5 x^{2} + 1)

What is the asymptotes of (4x^2+6x-4)/(2x^2+13x+15) ?
The asymptotes of (4x^2+6x-4)/(2x^2+13x+15) is Vertical: x=-5,x=-3/2 ,Horizontal: y=2