What is the domain of f(x)= 1/(sqrt(x+14)) ?

The domain of f(x)= 1/(sqrt(x+14)) is x>-14

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domain of f(x)= 1/(sqrt(x+14))

domain

f (x) = \frac{1}{x + 14}

x > - 14

Interval Notation

(- 14, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 14

Find undefined (singularity) points:

x = - 14

Combine real regions and undefined points for final function domain

x > - 14

What is the domain of f(x)= 1/(sqrt(x+14)) ?
The domain of f(x)= 1/(sqrt(x+14)) is x>-14