What is the domain of f(x)=(sqrt(x))/(x+3) ?

The domain of f(x)=(sqrt(x))/(x+3) is x>= 0

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domain of f(x)=(sqrt(x))/(x+3)

domain

f (x) = \frac{x}{x + 3}

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x \geq 0

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

\frac{4 x}{x + 3}

\frac{1}{3} (x - 5)

f (x) = lo g_{\frac{1}{9}} (9 x - 1)

∣ x + 2 ∣ - ∣ x - 1 ∣ + ∣ x - 4 ∣

What is the domain of f(x)=(sqrt(x))/(x+3) ?
The domain of f(x)=(sqrt(x))/(x+3) is x>= 0