What is the domain of f(x)=sqrt(5/(3x-1)) ?

The domain of f(x)=sqrt(5/(3x-1)) is x> 1/3

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domain of f(x)=sqrt(5/(3x-1))

domain

f (x) = \frac{5}{3 x - 1}

x > \frac{1}{3}

Interval Notation

(\frac{1}{3}, \infty)

Solution steps

Find non-negative values for radicals:

x > \frac{1}{3}

Find undefined (singularity) points:

x = \frac{1}{3}

Combine real regions and undefined points for final function domain

x > \frac{1}{3}

f (x) = \frac{x + 4}{- 4 x + 3}

\frac{2 x - x - 4}{x + 6 - x}

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

f (x) = \frac{8 x + 5}{2 - 5 x}

f (x) = \frac{8 x + 5}{4 x + 2}

What is the domain of f(x)=sqrt(5/(3x-1)) ?
The domain of f(x)=sqrt(5/(3x-1)) is x> 1/3