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

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

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

domain

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

15 x + 3 y = - 135

4 y = 7 x + 4

f (x) = tan (2 x)

f (x) = x^{3} - 2 x^{2}

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