What is the domain of (sqrt(x-4))/(sqrt(x-6)) ?

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

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domain of (sqrt(x-4))/(sqrt(x-6))

domain

\frac{x - 4}{x - 6}

x > 6

Interval Notation

(6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 6

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

x > 6

f (x) = \frac{3 x - 2}{x ^{2} - 9}

8 - x

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

\frac{x ^{2}}{1 + x}

y = \frac{5}{x + 2}

What is the domain of (sqrt(x-4))/(sqrt(x-6)) ?
The domain of (sqrt(x-4))/(sqrt(x-6)) is x>6