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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

4 x - 1

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

\frac{1}{∣ 4 - x ∣}

f (x) = \frac{16}{x ^{2}}

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

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