What is the domain of (sqrt(x-4))/(2x-12) ?

The domain of (sqrt(x-4))/(2x-12) is 4 6

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domain of (sqrt(x-4))/(2x-12)

domain

\frac{x - 4}{2 x - 12}

4 \leq x < 6 or x > 6

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

4 \leq x < 6 or x > 6

(- 3, 5), (- 7, - 9)

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

2 cos (x)

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

sin (e - t)

What is the domain of (sqrt(x-4))/(2x-12) ?
The domain of (sqrt(x-4))/(2x-12) is 4<= x<6\lor x>6