What is the domain of f(x)= 6/(x(x+9)) ?

The domain of f(x)= 6/(x(x+9)) is x 0

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domain of f(x)= 6/(x(x+9))

domain

f (x) = \frac{6}{x ( x + 9 )}

x < - 9 or - 9 < x < 0 or x > 0

Interval Notation

(- \infty, - 9) \cup (- 9, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 9

The function domain

x < - 9 or - 9 < x < 0 or x > 0

f (x) = \frac{x + 3}{4 - x ^{2} - 25}

f (x) = - x^{2} + 2 x

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

\frac{x}{x + 5}

f (x) = ln (x^{2} + 4)

What is the domain of f(x)= 6/(x(x+9)) ?
The domain of f(x)= 6/(x(x+9)) is x<-9\lor-9<x<0\lor x>0