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{( 3 \cdot x ^{3} - 2 \cdot x ^{2} + 7 )}{( x ^{3} - x - 2 )}

3 x + 3 y = 72

y = - 1 + 3 x

2 tan (\frac{π x}{2})

(- 1, 6), (7, 16)

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