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

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

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

domain

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

x > - 5

Interval Notation

(- 5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x > - 5

y = - 3 x - 6

y = \frac{5}{2} x

y = ∣ x - 1 ∣

f (x) = \frac{x}{x ^{2} + 1}

f (x) = 2 x 2 x^{2} + 4

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