What is the asymptotes of ((2x^2+6))/(2x^2+3x-2) ?

The asymptotes of ((2x^2+6))/(2x^2+3x-2) is Vertical: x=-2,x= 1/2 ,Horizontal: y=1

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asymptotes of ((2x^2+6))/(2x^2+3x-2)

asymptotes

\frac{( 2 x ^{2} + 6 )}{2 x ^{2} + 3 x - 2}

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

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 6}{2 x ^{2} + 3 x - 2} : x = - 2, x = \frac{1}{2}

Horizontal Asymptotes of

\frac{2 x ^{2} + 6}{2 x ^{2} + 3 x - 2} : y = 1

Slant Asymptotes of

\frac{2 x ^{2} + 6}{2 x ^{2} + 3 x - 2} :

None

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

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

y = x + 1

- 3 x + y = 8

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

y = (x + 5)^{3}

What is the asymptotes of ((2x^2+6))/(2x^2+3x-2) ?
The asymptotes of ((2x^2+6))/(2x^2+3x-2) is Vertical: x=-2,x= 1/2 ,Horizontal: y=1