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

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

f (x) = ln (x - 7)

f (x) = \frac{cos ( x )}{1 + sin ( x )}

f (x) = \frac{x + 4}{x}

\frac{1}{2} ln (\frac{1 + x}{1 - x})

f (x) = 48 - 8 x

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