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

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

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

asymptotes

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2}}{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}

- 12 = - 16 x + 8

f (x) = 1 + 2 + 5 x

f (x) = 4 x^{3} - 10

y = 5 x^{2} - 3 x + 5

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

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