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

The domain of f(x)=sqrt(|x|-x) is -infinity <x<infinity

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

domain

f (x) = ∣ x ∣ - x

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

\frac{x ^{2}}{6 - x}

f (x) = \frac{x - 2}{x ^{2} + 6 x - 16}

f (x) = - 4 + 3 x - 12

\frac{1}{2} x^{2} e^{x + 1}

f (x) = \frac{3}{4 - x ^{2}}

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