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

The asymptotes of f(x)=(x^2+x-2)/(2x^2+1) is Horizontal: y= 1/2

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

asymptotes

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

Horizontal : y = \frac{1}{2}

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = \frac{1}{2}

f (x) = 16 - x

x^{3} - 3 x^{2} + 3 x + 9

x^{3} - 2 x^{2} - 5 x + 6

\frac{10 x - 20}{x ^{2} - x - 20}

f (x) = \frac{2 x - 1}{x + 7}

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