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

The domain of (3+x)/(1-3x) is x 1/3

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domain of (3+x)/(1-3x)

domain

\frac{3 + x}{1 - 3 x}

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}

(6.4) (4.4)

f (x) = \frac{2 x}{x ^{2} + 1}

f (x) = 3 + 4 x^{3}

f (x) = \frac{1}{x + 2}

(- 5, - 1), (- 2, 1)

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