What is the domain of f(x)=sqrt(2/(x-4)) ?

The domain of f(x)=sqrt(2/(x-4)) is x>4

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domain of f(x)=sqrt(2/(x-4))

domain

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

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x > 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

f (x) = \frac{6}{x + 1} + 1

f (x) = x^{7} - 7

f (x) = - \frac{6}{1 + x ^{2}}

y = (2 - x)^{3}

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

What is the domain of f(x)=sqrt(2/(x-4)) ?
The domain of f(x)=sqrt(2/(x-4)) is x>4