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

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

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

domain

f (x) = \frac{x - 6}{x - 4}

x \geq 6

Interval Notation

[6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 6

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x \geq 6

\frac{3}{2} x - 4

\frac{1}{x ^{2} - 9}

f (x) = - \frac{5}{8} n + \frac{15}{8}

(x - 1) (x + 2)

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

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