What is the domain of f(x)=-5/(x^2+3x) ?

The domain of f(x)=-5/(x^2+3x) is x 0

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domain of f(x)=-5/(x^2+3x)

domain

f (x) = - \frac{5}{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) = x - 1 + x - 10

3 cos (2 x + \frac{π}{2})

- x^{2} - 8 x + 9

f (x) = ln (\frac{( 2 - x )}{x})

\frac{[ 2 - x ]}{[ x ^{2} - 1 ]}

What is the domain of f(x)=-5/(x^2+3x) ?
The domain of f(x)=-5/(x^2+3x) is x<-3\lor-3<x<0\lor x>0