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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

\frac{x + 3}{( 2 x + 3 ) ( x - 1 )} : x = - \frac{3}{2}, x = 1

Horizontal Asymptotes of

\frac{x + 3}{( 2 x + 3 ) ( x - 1 )} : y = 0

Slant Asymptotes of

\frac{x + 3}{( 2 x + 3 ) ( x - 1 )} :

None

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

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

- 2 x^{2} - 2 x - 2

- x^{4} - 2 x^{3} + 2 x^{2} - 5

f (x) = \frac{8 + 5 x}{x - 1}

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

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