What is the domain of sqrt((x-6)/(x-3)) ?

The domain of sqrt((x-6)/(x-3)) is x = 6

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domain of sqrt((x-6)/(x-3))

domain

\frac{x - 6}{x - 3}

x < 3 or x \geq 6

Interval Notation

(- \infty, 3) \cup [6, \infty)

Solution steps

Find non-negative values for radicals:

x < 3 or x \geq 6

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x < 3 or x \geq 6

5 x - 9

3 x + y = 4, (7, 8)

t + 9

5 x + 9 + 1

y - 9 = \frac{1}{5} (x - 2)

What is the domain of sqrt((x-6)/(x-3)) ?
The domain of sqrt((x-6)/(x-3)) is x<3\lor x>= 6