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

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

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

domain

x < \frac{1}{3} or \frac{1}{3} < x < 2 or x > 2

Interval Notation

(- \infty, \frac{1}{3}) \cup (\frac{1}{3}, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = \frac{1}{3}

The function domain

x < \frac{1}{3} or \frac{1}{3} < x < 2 or x > 2

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