What is the domain of (2x)/(sqrt(3x-1)) ?

The domain of (2x)/(sqrt(3x-1)) is x> 1/3

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domain of (2x)/(sqrt(3x-1))

domain

\frac{2 x}{3 x - 1}

x > \frac{1}{3}

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq \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) = 4 x^{2} - 3 x + 1

- x + 6

f (x) = x^{3} - 9 x^{2} + 2

y = 5^{x}

y = - 4 x + 3

What is the domain of (2x)/(sqrt(3x-1)) ?
The domain of (2x)/(sqrt(3x-1)) is x> 1/3