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

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

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

domain

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

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

f (x) = 3 tan (x)

f (x) = \frac{x ^{2} - 4}{x}

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

f (x) = x (ln (x))^{2}

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

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