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

The asymptotes of f(x)=(2x^2+1)/(2x^2-3x) is Vertical: x=0,x= 3/2 ,Horizontal: y=1

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

asymptotes

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

Vertical : x = 0, x = \frac{3}{2}, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 1}{2 x ^{2} - 3 x} : x = 0, x = \frac{3}{2}

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = 0, x = \frac{3}{2}, Horizontal : y = 1

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

f (x) = 2^{x - 3} + 5

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

f (x) = \frac{x + 5}{9 x - 3}

f (x) = x - 1 - x

What is the asymptotes of f(x)=(2x^2+1)/(2x^2-3x) ?
The asymptotes of f(x)=(2x^2+1)/(2x^2-3x) is Vertical: x=0,x= 3/2 ,Horizontal: y=1