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

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

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

asymptotes

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

Vertical : x = 2, Slant : y = 2 x + 4

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 2, Slant : y = 2 x + 4

f (x) = x^{2} + 4 x + 4

f (x) = - \frac{10}{x}

y + 3 = - \frac{4}{3} (x - 4)

f (x) = (x + 12)^{3}

y = \frac{1}{2} x + 6

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