What is the asymptotes of f(x)=(2x^2-5x+7)/(x-2) ?

The asymptotes of f(x)=(2x^2-5x+7)/(x-2) is Vertical: x=2,Slant: y=2x-1

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asymptotes of f(x)=(2x^2-5x+7)/(x-2)

asymptotes

f (x) = \frac{2 x ^{2} - 5 x + 7}{x - 2}

Vertical : x = 2, Slant : y = 2 x - 1

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} - 5 x + 7}{x - 2} : x = 2

Horizontal Asymptotes of

\frac{2 x ^{2} - 5 x + 7}{x - 2} :

None

Slant Asymptotes of

\frac{2 x ^{2} - 5 x + 7}{x - 2} : y = 2 x - 1

Vertical : x = 2, Slant : y = 2 x - 1

(- 5, - 10), (- 1, 5)

f (x) = 2 x - 4 y = 9

(- 5 - 6), (- 5 - 1)

x - 4 + 5

f (x) = - 2 x^{2} - 12 x - 16

What is the asymptotes of f(x)=(2x^2-5x+7)/(x-2) ?
The asymptotes of f(x)=(2x^2-5x+7)/(x-2) is Vertical: x=2,Slant: y=2x-1