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

The domain of g(x)= 1/(3x) is x 0

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

domain

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

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

y = - 3

x = 3 - 2^{6 y + 1}

X^{2} + 2 X - 8

f (x, y) = 1 - y^{2}

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