What is the domain of (|x|)/(x+1) ?

The domain of (|x|)/(x+1) is x -1

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domain of (|x|)/(x+1)

domain

\frac{∣ x ∣}{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

\frac{1}{x ^{2} + 3 x - 4}

f (x) = - x^{2} - 5

- 2 x^{2} + 30 x - 100

5^{x} - 8

f (x) = 4 x + 2 x^{3} + (x^{2} + 2 x)