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

The domain of f(x)=((-3))/((|x+2|)) is x -2

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

domain

f (x) = \frac{( - 3 )}{( ∣ x + 2 ∣ )}

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

f (x) = \frac{x ^{2} - 1}{x ^{2} + 5 x + 6}

f (x) = \frac{5 x ^{2} + 4}{x ^{2} + 3 x - 10}

f (x) = \frac{2}{x + 4}

f (x) = x^{2} - 1

\frac{e ^{x}}{7 + e ^{x}}

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