What is the domain of f(x)=(sqrt(x-3))/(1/x) ?

The domain of f(x)=(sqrt(x-3))/(1/x) is x>= 3

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domain of f(x)=(sqrt(x-3))/(1/x)

domain

f (x) = \frac{x - 3}{\frac{1}{x}}

x \geq 3

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \geq 3

f (x) = - 3 x - 2 - 4

f (x) = - \frac{1}{2} x - 1

\frac{x ^{4}}{x ^{2} + x - 30}

y = \frac{x - 1}{x + 1}

6 x^{2} + 6 x - 36

What is the domain of f(x)=(sqrt(x-3))/(1/x) ?
The domain of f(x)=(sqrt(x-3))/(1/x) is x>= 3