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

The domain of-sqrt((x-2)/(2x-6)) is x 3

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

domain

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

x \leq 2 or x > 3

Interval Notation

(- \infty, 2] \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 2 or x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x \leq 2 or x > 3

3.90753 x

ln (49 x^{2} - 77 x + 30)

f (x) = \frac{25 x}{12 x - 14}

f (x) = \frac{t}{t ^{2} - 64}

f (x) = ln (e^{x} - 8)

What is the domain of-sqrt((x-2)/(2x-6)) ?
The domain of-sqrt((x-2)/(2x-6)) is x<= 2\lor x>3