What is the domain of f(x)=(-5)/(sqrt(4+x)) ?

The domain of f(x)=(-5)/(sqrt(4+x)) is x>-4

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domain of f(x)=(-5)/(sqrt(4+x))

domain

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

x^{2} + 12 x

81 (x - 3)^{4} (2 - (x - 3))

y = 5 (x - 5) + 40

f (x) = - \frac{4}{3} x^{2} + 42 x

x^{3} + 3 x^{2}

What is the domain of f(x)=(-5)/(sqrt(4+x)) ?
The domain of f(x)=(-5)/(sqrt(4+x)) is x>-4