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

The domain of g(x)=(x-2)/(1-3x) is x 1/3

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domain of g(x)=(x-2)/(1-3x)

domain

g (x) = \frac{x - 2}{1 - 3 x}

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}

What is the domain of g(x)=(x-2)/(1-3x) ?
The domain of g(x)=(x-2)/(1-3x) is x< 1/3 \lor x> 1/3