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

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

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

domain

y = \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{7 x}{5 x - 9}

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

- sin (2 t) + sin (t)

- x^{4} - x^{3} + 6 x^{2} + 4 x - 8

y = e^{- x} - 4

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