What is the domain of f(x)=(sqrt(x))/(x+4) ?

The domain of f(x)=(sqrt(x))/(x+4) is x>= 0

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domain of f(x)=(sqrt(x))/(x+4)

domain

f (x) = \frac{x}{x + 4}

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x \geq 0

f (x) = (x - 3)^{2} + 1

f (x) = \frac{x ^{2} + 5}{x ^{2} - 2 x - 15}

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

f (x) = \frac{3 - x}{x + 1} - \frac{4}{5 x - 3}

x^{4} + \frac{4}{3} x^{3} - 4 x^{2} - \frac{4}{3}

What is the domain of f(x)=(sqrt(x))/(x+4) ?
The domain of f(x)=(sqrt(x))/(x+4) is x>= 0