What is the asymptotes of f(x)=(x^2-2x+5)/(3x-2) ?

The asymptotes of f(x)=(x^2-2x+5)/(3x-2) is Vertical: x= 2/3 ,Slant: y= 1/3 x-4/9

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asymptotes of f(x)=(x^2-2x+5)/(3x-2)

asymptotes

f (x) = \frac{x ^{2} - 2 x + 5}{3 x - 2}

Vertical : x = \frac{2}{3}, Slant : y = \frac{1}{3} x - \frac{4}{9}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 2 x + 5}{3 x - 2} : x = \frac{2}{3}

Horizontal Asymptotes of

\frac{x ^{2} - 2 x + 5}{3 x - 2} :

None

Slant Asymptotes of

\frac{x ^{2} - 2 x + 5}{3 x - 2} : y = \frac{1}{3} x - \frac{4}{9}

Vertical : x = \frac{2}{3}, Slant : y = \frac{1}{3} x - \frac{4}{9}

f (x) = \frac{1 - 6 t}{5 + t}

(2, 8), (12, 2)

f (x) = \frac{3 x + 8}{x + 3}

5 x + 2 y = - 3

\frac{x - 5}{x + 2}

What is the asymptotes of f(x)=(x^2-2x+5)/(3x-2) ?
The asymptotes of f(x)=(x^2-2x+5)/(3x-2) is Vertical: x= 2/3 ,Slant: y= 1/3 x-4/9