What is the domain of f(x)=sqrt(3/(x-4)) ?

The domain of f(x)=sqrt(3/(x-4)) is x>4

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domain of f(x)=sqrt(3/(x-4))

domain

f (x) = \frac{3}{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) = 45 - 9 x

f (x) = arcsin (3 x + 1)

f (x) = \frac{2 x ^{2} + 4 x + 2}{x ^{2} - 1}

f (x) = - x - 3 + 2

y = \frac{5}{2} x, (2, 5)

What is the domain of f(x)=sqrt(3/(x-4)) ?
The domain of f(x)=sqrt(3/(x-4)) is x>4