What is the asymptotes of f(x)=(x^2-x+6)/(4x-1) ?

The asymptotes of f(x)=(x^2-x+6)/(4x-1) is Vertical: x= 1/4 ,Slant: y= 1/4 x-3/16

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asymptotes of f(x)=(x^2-x+6)/(4x-1)

asymptotes

f (x) = \frac{x ^{2} - x + 6}{4 x - 1}

Vertical : x = \frac{1}{4}, Slant : y = \frac{1}{4} x - \frac{3}{16}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - x + 6}{4 x - 1} : x = \frac{1}{4}

Horizontal Asymptotes of

\frac{x ^{2} - x + 6}{4 x - 1} :

None

Slant Asymptotes of

\frac{x ^{2} - x + 6}{4 x - 1} : y = \frac{1}{4} x - \frac{3}{16}

Vertical : x = \frac{1}{4}, Slant : y = \frac{1}{4} x - \frac{3}{16}

f (x) = 50

x^{3} + x^{2} - 9 x - 9

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

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

y - 6 x = 9

What is the asymptotes of f(x)=(x^2-x+6)/(4x-1) ?
The asymptotes of f(x)=(x^2-x+6)/(4x-1) is Vertical: x= 1/4 ,Slant: y= 1/4 x-3/16