What is the domain of f(x)=(x^3+x^2+x+1)/(|x+1|) ?

The domain of f(x)=(x^3+x^2+x+1)/(|x+1|) is x -1

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domain of f(x)=(x^3+x^2+x+1)/(|x+1|)

domain

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

x < - 1 or x > - 1

Interval Notation

(- \infty, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

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