What is the domain of f(x)=(x-2)/(sqrt(x-5)) ?

The domain of f(x)=(x-2)/(sqrt(x-5)) is x>5

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domain of f(x)=(x-2)/(sqrt(x-5))

domain

f (x) = \frac{x - 2}{x - 5}

x > 5

Interval Notation

(5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x > 5

f (x) = - 4

x - 3

f (x) = \frac{6}{x + 9}

(2 - x)^{2} - 4

(10.6) (4.2)

What is the domain of f(x)=(x-2)/(sqrt(x-5)) ?
The domain of f(x)=(x-2)/(sqrt(x-5)) is x>5