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

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

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

asymptotes

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

Vertical : x = \frac{1}{2}, Slant : y = \frac{3}{2} x + \frac{5}{4}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = \frac{1}{2}, Slant : y = \frac{3}{2} x + \frac{5}{4}

\frac{x ^{2} + 2 x + 3}{x - 4}

f (x) = \frac{1}{x ^{2} + x - 12}

f (x) = \frac{3 x - 7}{x ^{2} - 1}

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

- 4 tan (4 θ + \frac{π}{5})

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