What is the asymptotes of f(x)=(8x^2+1)/(2x^2+3x-2) ?

The asymptotes of f(x)=(8x^2+1)/(2x^2+3x-2) is Vertical: x=-2,x= 1/2 ,Horizontal: y=4

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asymptotes of f(x)=(8x^2+1)/(2x^2+3x-2)

asymptotes

f (x) = \frac{8 x ^{2} + 1}{2 x ^{2} + 3 x - 2}

Vertical : x = - 2, x = \frac{1}{2}, Horizontal : y = 4

Solution steps

Vertical asymptotes of

\frac{8 x ^{2} + 1}{2 x ^{2} + 3 x - 2} : x = - 2, x = \frac{1}{2}

Horizontal Asymptotes of

\frac{8 x ^{2} + 1}{2 x ^{2} + 3 x - 2} : y = 4

Slant Asymptotes of

\frac{8 x ^{2} + 1}{2 x ^{2} + 3 x - 2} :

None

Vertical : x = - 2, x = \frac{1}{2}, Horizontal : y = 4

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

5 + x + 5

f (x) = 5 x - 9

- \frac{1}{3} (x - (5))

\frac{5}{x ( x - 3 )}

What is the asymptotes of f(x)=(8x^2+1)/(2x^2+3x-2) ?
The asymptotes of f(x)=(8x^2+1)/(2x^2+3x-2) is Vertical: x=-2,x= 1/2 ,Horizontal: y=4