What is the domain of f(x)= 1/(sqrt(4+x)) ?

The domain of f(x)= 1/(sqrt(4+x)) is x>-4

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domain of f(x)= 1/(sqrt(4+x))

domain

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

x > - 4

Interval Notation

(- 4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x > - 4

f (x) = 8 x - 28

f (x) = \frac{5}{6} x + \frac{5}{3}

\frac{2 x}{1 - 5 x}

f (x) = x (16 - x)^{3}

- x - 1

What is the domain of f(x)= 1/(sqrt(4+x)) ?
The domain of f(x)= 1/(sqrt(4+x)) is x>-4