What is the asymptotes of ((4x^2+1))/(2x^2+5x-3) ?

The asymptotes of ((4x^2+1))/(2x^2+5x-3) is Vertical: x=-3,x= 1/2 ,Horizontal: y=2

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asymptotes of ((4x^2+1))/(2x^2+5x-3)

asymptotes

\frac{( 4 x ^{2} + 1 )}{2 x ^{2} + 5 x - 3}

Vertical : x = - 3, x = \frac{1}{2}, Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{4 x ^{2} + 1}{2 x ^{2} + 5 x - 3} : x = - 3, x = \frac{1}{2}

Horizontal Asymptotes of

\frac{4 x ^{2} + 1}{2 x ^{2} + 5 x - 3} : y = 2

Slant Asymptotes of

\frac{4 x ^{2} + 1}{2 x ^{2} + 5 x - 3} :

None

Vertical : x = - 3, x = \frac{1}{2}, Horizontal : y = 2

f (x) = x^{3} - 6 x + 20

- cos (x - \frac{π}{2})

- - x + 4

f (x) = \frac{1}{4 x - 8}

(9.1) (5.3)

What is the asymptotes of ((4x^2+1))/(2x^2+5x-3) ?
The asymptotes of ((4x^2+1))/(2x^2+5x-3) is Vertical: x=-3,x= 1/2 ,Horizontal: y=2