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

The domain of g(x)= 5/(3x-1) is x 1/3

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domain of g(x)= 5/(3x-1)

domain

g (x) = \frac{5}{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}

f (x) = \frac{x ^{2} + 4}{x ^{2} - 1}

f (x) = x^{4} - 2 x^{2} - 8

y = arccos (3 - x)

f (x) = \frac{x ^{3} + x ^{2} - 2 x}{- 3 x ^{2} + 27}

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What is the domain of g(x)= 5/(3x-1) ?
The domain of g(x)= 5/(3x-1) is x< 1/3 \lor x> 1/3