What is the domain of (-2-5x)/(3x-1) ?

The domain of (-2-5x)/(3x-1) is x 1/3

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domain of (-2-5x)/(3x-1)

domain

\frac{- 2 - 5 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) = \frac{x - 4}{x + 3}

f (x) = 2 x - 1

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

f (x) = 2

f (x) = \frac{x + 21}{x - 7}

What is the domain of (-2-5x)/(3x-1) ?
The domain of (-2-5x)/(3x-1) is x< 1/3 \lor x> 1/3