What is the asymptotes of f(x)=(x^2-2x+2)/(3x-1/2) ?

The asymptotes of f(x)=(x^2-2x+2)/(3x-1/2) is Vertical: x= 1/6 ,Slant: y= 1/3 x-11/18

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asymptotes of f(x)=(x^2-2x+2)/(3x-1/2)

asymptotes

f (x) = \frac{x ^{2} - 2 x + 2}{3 x - \frac{1}{2}}

Vertical : x = \frac{1}{6}, Slant : y = \frac{1}{3} x - \frac{11}{18}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2} - 2 x + 2}{3 x - \frac{1}{2}} : y = \frac{1}{3} x - \frac{11}{18}

Vertical : x = \frac{1}{6}, Slant : y = \frac{1}{3} x - \frac{11}{18}

f (x) = \frac{6 x}{x - 2}

f (x) = \frac{3 x ^{2} - 27 x}{4 x - 36}

\frac{x ^{2}}{x - 8}

f (x) = ln (x + 3)

f (x) = ln (x + 5)

What is the asymptotes of f(x)=(x^2-2x+2)/(3x-1/2) ?
The asymptotes of f(x)=(x^2-2x+2)/(3x-1/2) is Vertical: x= 1/6 ,Slant: y= 1/3 x-11/18