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

The asymptotes of f(x)=(6x^2+2x+1)/(2x-1) is Vertical: x= 1/2 ,Slant: y=3x+5/2

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{6 x ^{2} + 2 x + 1}{2 x - 1} : y = 3 x + \frac{5}{2}

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

f (x) = \frac{9}{x - 3}

f (x) = 3 (5^{x - 4}) - 7

2 (3)^{x - 1} + 2

2^{x} - 4

f (x) = \frac{1}{x ^{2} - 2 x - 8}

What is the asymptotes of f(x)=(6x^2+2x+1)/(2x-1) ?
The asymptotes of f(x)=(6x^2+2x+1)/(2x-1) is Vertical: x= 1/2 ,Slant: y=3x+5/2