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

The domain of (sqrt(x+1))/(|x|) is -1 0

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

domain

\frac{x + 1}{∣ x ∣}

- 1 \leq x < 0 or x > 0

Interval Notation

[- 1, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 1 \leq x < 0 or x > 0

e x t re m e f (x) = x^{4} - 4 x^{3} + 10

d o main f (x) = \frac{1}{2 x + 1}

d o main \frac{6}{x - 5}

in v erse g (x) = \frac{5}{2} x + 4

d o main x - 1 - 1

What is the domain of (sqrt(x+1))/(|x|) ?
The domain of (sqrt(x+1))/(|x|) is -1<= x<0\lor x>0