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

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

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

domain

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

x \leq 0 or x > 5

Solution steps

Find non-negative values for radicals:

x \leq 0 or x > 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x \leq 0 or x > 5

g (x) = \frac{x}{x ^{2} + 15 x + 50}

14 - 2 x

f (x) = \frac{x + 4}{- 2 x - 6}

f (x) = (x + 1) ln^{2} (x + 1)

f (x) = x^{3} - 3 x^{2} + 7 x + 1

What is the domain of f(x)=sqrt(x/(x-5)) ?
The domain of f(x)=sqrt(x/(x-5)) is x<= 0\lor x>5