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

The asymptotes of f(x)=(2x^2+5x+2)/(2x-4) is Vertical: x=2,Slant: y=x+9/2

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asymptotes of f(x)=(2x^2+5x+2)/(2x-4)

asymptotes

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

Vertical : x = 2, Slant : y = x + \frac{9}{2}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{2 x ^{2} + 5 x + 2}{2 x - 4} : y = x + \frac{9}{2}

Vertical : x = 2, Slant : y = x + \frac{9}{2}

\frac{x ^{2} - 25}{2 x ^{2} + 13 x + 15}

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

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

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

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

What is the asymptotes of f(x)=(2x^2+5x+2)/(2x-4) ?
The asymptotes of f(x)=(2x^2+5x+2)/(2x-4) is Vertical: x=2,Slant: y=x+9/2