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

f (x) = (x^{\frac{1}{4}} - 1)^{5}

1 + \frac{1}{x}

f (x) = - \frac{1}{10} x^{5} + 5 x^{3}

f (x) = x^{\frac{11}{5}} + x^{\frac{6}{5}}

f (x) = x x + 5

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