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

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

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

asymptotes

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

Vertical : x = \frac{5}{2}, Horizontal : y = \frac{3}{2}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = \frac{5}{2}, Horizontal : y = \frac{3}{2}

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

f (x) = 2 csc (x)

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

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

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

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