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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

f (x) = \frac{1}{x} - 1

x^{2} - 2 x - 6

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

f (x) = x - 3 + 2

f (x) = \frac{7}{x + 6}

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