What is the domain of f(x)= 1/(sqrt(|x|-x)) ?

The domain of f(x)= 1/(sqrt(|x|-x)) is x<0

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domain of f(x)= 1/(sqrt(|x|-x))

domain

f (x) = \frac{1}{∣ x ∣ - x}

x < 0

Interval Notation

(- \infty, 0)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

x \geq 0

Combine real regions and undefined points for final function domain

x < 0

f (x) = \frac{2 - x}{lo g _{10} ( x )}

f (x) = 8 x - 1704

f (x) = 4 x - 6, x \geq - 2

f (x) = - \frac{1}{4} x^{3} - 13 x^{2} + 3 x - 9

6 x - 1248

What is the domain of f(x)= 1/(sqrt(|x|-x)) ?
The domain of f(x)= 1/(sqrt(|x|-x)) is x<0