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

The domain of f(x)=(sqrt(x))/(|x|) is x>0

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

domain

f (x) = \frac{x}{∣ x ∣}

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

lo g_{3} (4 - x^{2})

Z_{12}

f (x) = e^{c o s (x)} ln (x)

f (x) = ln (\frac{1 - x}{x + 1})

f (x) = \frac{1}{5 x - 10}

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