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{1}{x ^{4}} - 3

\frac{5 x - 3}{2 x + 1}

f (x) = \frac{3 x - 6}{- x ^{2} - 2 x + 8}

f (x) = \frac{x ^{2} + 2 x - 24}{x ^{2} - 16}

f (x) = \frac{x ^{2} - 3 x}{2 x ^{2} + 2 x - 12}

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