What is the domain of f(x)= 4/(sqrt(x+6)) ?

The domain of f(x)= 4/(sqrt(x+6)) is x>-6

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domain of f(x)= 4/(sqrt(x+6))

domain

f (x) = \frac{4}{x + 6}

x > - 6

Interval Notation

(- 6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = - 6

Combine real regions and undefined points for final function domain

x > - 6

f (x) = \frac{6 x - 6}{x + 2}

f (x) = x + 8

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

f (x) = \frac{3}{20} x^{5} - 2 x^{4}

f (x) = 4 - 12 x^{2} + \frac{1}{16} x^{4}

What is the domain of f(x)= 4/(sqrt(x+6)) ?
The domain of f(x)= 4/(sqrt(x+6)) is x>-6