What is the domain of f(x)=sqrt(6/(x-5)) ?

The domain of f(x)=sqrt(6/(x-5)) is x>5

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domain of f(x)=sqrt(6/(x-5))

domain

f (x) = \frac{6}{x - 5}

x > 5

Solution steps

Find non-negative values for radicals:

x > 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x > 5

2 x + y = 4

\frac{x ^{2} + 5}{x ^{2} - 3}

\frac{- 3 x}{3 x - 4}

f (x) = \frac{9 x - 8}{2 - x}

(- 2, - 6), (- 7, 1)

What is the domain of f(x)=sqrt(6/(x-5)) ?
The domain of f(x)=sqrt(6/(x-5)) is x>5