What is the domain of f(x)= x/(sqrt(x-16)) ?

The domain of f(x)= x/(sqrt(x-16)) is x>16

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domain of f(x)= x/(sqrt(x-16))

domain

f (x) = \frac{x}{x - 16}

x > 16

Interval Notation

(16, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 16

Find undefined (singularity) points:

x = 16

Combine real regions and undefined points for final function domain

x > 16

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

f (x) = \frac{1}{36 - x}

- 2 x^{2} + 16 x - 31

lo g_{10} (4 - x)

f (x) = \frac{x + 8}{x ^{2} + 9 x + 8}

What is the domain of f(x)= x/(sqrt(x-16)) ?
The domain of f(x)= x/(sqrt(x-16)) is x>16