What is the asymptotes of f(x)=(x^2+5x-3)/(4x-1) ?

The asymptotes of f(x)=(x^2+5x-3)/(4x-1) is Vertical: x= 1/4 ,Slant: y= 1/4 x+21/16

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asymptotes of f(x)=(x^2+5x-3)/(4x-1)

asymptotes

f (x) = \frac{x ^{2} + 5 x - 3}{4 x - 1}

Vertical : x = \frac{1}{4}, Slant : y = \frac{1}{4} x + \frac{21}{16}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2} + 5 x - 3}{4 x - 1} : y = \frac{1}{4} x + \frac{21}{16}

Vertical : x = \frac{1}{4}, Slant : y = \frac{1}{4} x + \frac{21}{16}

f (x) = π

(x - 2)^{2} + 3

2 x^{6} - 3 x^{5}

f (x) = \frac{1}{( x + 10 )}

\frac{2 x + 3}{x + 2}

What is the asymptotes of f(x)=(x^2+5x-3)/(4x-1) ?
The asymptotes of f(x)=(x^2+5x-3)/(4x-1) is Vertical: x= 1/4 ,Slant: y= 1/4 x+21/16