What is the domain of (sqrt(x-2))/(x-6) ?

The domain of (sqrt(x-2))/(x-6) is 2 6

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domain of (sqrt(x-2))/(x-6)

domain

\frac{x - 2}{x - 6}

2 \leq x < 6 or x > 6

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

2 \leq x < 6 or x > 6

f (x) = sin (7 x)

- (x + 5)^{2} + 4

f (x) = (x - 1)^{3} (x + 3)^{2}

f (x) = sin (x)

3 x^{2} + 6 x + 2

What is the domain of (sqrt(x-2))/(x-6) ?
The domain of (sqrt(x-2))/(x-6) is 2<= x<6\lor x>6