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

The domain of f(x)=(sqrt(x))/(x-3) is 0 3

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

domain

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

0 \leq x < 3 or x > 3

Interval Notation

[0, 3) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

0 \leq x < 3 or x > 3

What is the domain of f(x)=(sqrt(x))/(x-3) ?
The domain of f(x)=(sqrt(x))/(x-3) is 0<= x<3\lor x>3