What is the domain of f(x)= 3/(sqrt(x+4)) ?

The domain of f(x)= 3/(sqrt(x+4)) is x>-4

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domain of f(x)= 3/(sqrt(x+4))

domain

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

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

2 x + 3

f (t) = 2 cos (t - \frac{π}{3}) - 1

2 x + 3 - 5

f (x) = 25 - x^{2}

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

What is the domain of f(x)= 3/(sqrt(x+4)) ?
The domain of f(x)= 3/(sqrt(x+4)) is x>-4