What is the domain of 1/(sqrt(x-12)) ?

The domain of 1/(sqrt(x-12)) is x>12

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domain of 1/(sqrt(x-12))

domain

\frac{1}{x - 12}

x > 12

Interval Notation

(12, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 12

Find undefined (singularity) points:

x = 12

Combine real regions and undefined points for final function domain

x > 12

y = ln (x)

- \frac{1}{2} x^{2} - 5 x - \frac{15}{2}

f (x) = x^{2} - 25, x \geq 5

\frac{x ^{2}}{x ^{2} - 9}