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

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

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

domain

f (x) = \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

\frac{1}{x - 6}

f (x) = 2 x^{3} - 5

f (x) = 2 + 4 sin (3 x + \frac{π}{2})

f (x) = \frac{7}{x ^{2} - 49}

\frac{2}{x ^{2} + 4 x + 3}

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