What is the domain of (sqrt(x-8))/(sqrt(x-7)) ?

The domain of (sqrt(x-8))/(sqrt(x-7)) is x>= 8

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domain of (sqrt(x-8))/(sqrt(x-7))

domain

\frac{x - 8}{x - 7}

x \geq 8

Interval Notation

[8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 8

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x \geq 8

What is the domain of (sqrt(x-8))/(sqrt(x-7)) ?
The domain of (sqrt(x-8))/(sqrt(x-7)) is x>= 8