What is the domain of (3sqrt(2x-4))/(sqrt(2x-4)-2) ?

The domain of (3sqrt(2x-4))/(sqrt(2x-4)-2) is 2 4

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domain of (3sqrt(2x-4))/(sqrt(2x-4)-2)

domain

\frac{3 2 x - 4}{2 x - 4 - 2}

2 \leq x < 4 or x > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

2 \leq x < 4 or x > 4

What is the domain of (3sqrt(2x-4))/(sqrt(2x-4)-2) ?
The domain of (3sqrt(2x-4))/(sqrt(2x-4)-2) is 2<= x<4\lor x>4