What is the domain of f(x)= 1/(sqrt(x-13)) ?

The domain of f(x)= 1/(sqrt(x-13)) is x>13

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domain of f(x)= 1/(sqrt(x-13))

domain

f (x) = \frac{1}{x - 13}

x > 13

Interval Notation

(13, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 13

Find undefined (singularity) points:

x = 13

Combine real regions and undefined points for final function domain

x > 13

What is the domain of f(x)= 1/(sqrt(x-13)) ?
The domain of f(x)= 1/(sqrt(x-13)) is x>13