What is the domain of y=(x-2)/(x*(x+1)) ?

The domain of y=(x-2)/(x*(x+1)) is x 0

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domain of y=(x-2)/(x*(x+1))

domain

y = \frac{x - 2}{x \cdot ( 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) = t^{2} - 4

f (x) = ∣ ln (1 - x) ∣

\frac{1}{3} x^{3} + 6

g (x) = lo g_{4} (x - 3)

y = arccos (\frac{x - 5}{2}) - \frac{π}{2}

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