What is the domain of g(x)= 3/(3x-1) ?

The domain of g(x)= 3/(3x-1) is x 1/3

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domain of g(x)= 3/(3x-1)

domain

g (x) = \frac{3}{3 x - 1}

x < \frac{1}{3} or x > \frac{1}{3}

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{1}{3}

The function domain

x < \frac{1}{3} or x > \frac{1}{3}

g (x) = \frac{4}{ln ( \frac{x ^{2}}{4} )}

f (x) = lo g_{10} (1 - 2 x)

f (x) = \frac{- 2 x}{x ^{4} - 72 x ^{2} + 1296}

f (x) = 2 + 26

\frac{- 2}{x - 2} - 2

What is the domain of g(x)= 3/(3x-1) ?
The domain of g(x)= 3/(3x-1) is x< 1/3 \lor x> 1/3