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

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

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

domain

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

3 \leq x < 6 or x > 6

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

3 \leq x < 6 or x > 6

- 3 cos (4 x)

x^{5} + 5 x^{4}

6 x - 18

(5, - 9), (- 2, y)

x^{2} - 4 x + 13

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