What is the domain of sqrt((3x-5)/(x-2)) ?

The domain of sqrt((3x-5)/(x-2)) is x 2

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domain of sqrt((3x-5)/(x-2))

domain

\frac{3 x - 5}{x - 2}

x \leq \frac{5}{3} or x > 2

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq \frac{5}{3} or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x \leq \frac{5}{3} or x > 2

x - 23 + \frac{253}{x + 11}

f (x) = lo g_{2} (3 x - 6) + \frac{1}{x - 5}

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

f (x) = x^{2} + 7 x - 9

2 sin (x) + cos (2 x)

What is the domain of sqrt((3x-5)/(x-2)) ?
The domain of sqrt((3x-5)/(x-2)) is x<= 5/3 \lor x>2