What is the domain of g(x)=(5x)/(x^2+x) ?

The domain of g(x)=(5x)/(x^2+x) is x 0

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domain of g(x)=(5x)/(x^2+x)

domain

g (x) = \frac{5 x}{x ^{2} + x}

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) = - 4 + 10, x \neq = 3

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

f (x) = arcsin (3 x - 1)

2 e^{- x} - 3

\frac{x ^{2} - 16}{2 x - 3}

What is the domain of g(x)=(5x)/(x^2+x) ?
The domain of g(x)=(5x)/(x^2+x) is x<-1\lor-1<x<0\lor x>0