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

The domain of f(x)=(2x-3)/(x(x+1)) is x 0

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

domain

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

x < - 1 or - 1 < x < 0 or x > 0

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 1

The function domain

x < - 1 or - 1 < x < 0 or x > 0

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

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

y = 4^{x + 1}

- 5 x + 1

\frac{x - 3}{x - 1}

What is the domain of f(x)=(2x-3)/(x(x+1)) ?
The domain of f(x)=(2x-3)/(x(x+1)) is x<-1\lor-1<x<0\lor x>0