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

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

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domain of f(x)= x/(x^2+3x)

domain

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

x < - 3 or - 3 < x < 0 or x > 0

Interval Notation

(- \infty, - 3) \cup (- 3, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 3

The function domain

x < - 3 or - 3 < x < 0 or x > 0

f (x) = \frac{5 x ^{3} - x ^{2} + 4}{3 x ^{3} + 24}

6 - 3 x

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

f (x) = lo g_{3} (lo g_{2} (x)) = 1

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