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

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

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

domain

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

x > - 3

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x > - 3

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

x^{3} - 12 x^{2} + 45 x - 50

f (x) = \frac{4 x + 1}{x - 2}

f (x) = ln (x - 9)

- x^{2} - 2 x + 3

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