What is the domain of g(x)=(sqrt(x-8))/(sqrt(x-4)) ?

The domain of g(x)=(sqrt(x-8))/(sqrt(x-4)) is x>= 8

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domain of g(x)=(sqrt(x-8))/(sqrt(x-4))

domain

g (x) = \frac{x - 8}{x - 4}

x \geq 8

Interval Notation

[8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 8

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x \geq 8

What is the domain of g(x)=(sqrt(x-8))/(sqrt(x-4)) ?
The domain of g(x)=(sqrt(x-8))/(sqrt(x-4)) is x>= 8