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

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

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

domain

f (x) = \frac{2}{( 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}

x + 2 y = 4

y + 8 = 4 (x - 5)

\frac{4 x}{7 x - 5}

f (x) = \frac{2 x + 6}{x + 3}

\frac{3}{4} x - \frac{1}{2} y = \frac{1}{8}

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