What is the domain of f(x)=-(x+2)^{-3}-1 ?

The domain of f(x)=-(x+2)^{-3}-1 is x -2

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domain of f(x)=-(x+2)^{-3}-1

domain

f (x) = - (x + 2)^{- 3} - 1

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) = 3 x^{2} + (\frac{1}{x ^{2} + 5}) + 2

f (x) = - \frac{∣ x + 2 ∣}{x + 2}

f (x) = 5 + x - 3

\frac{( x - 20 )}{- 0.25}

f (x) = \frac{1}{x ( ln ( x ) + 2 )}

What is the domain of f(x)=-(x+2)^{-3}-1 ?
The domain of f(x)=-(x+2)^{-3}-1 is x<-2\lor x>-2