Find Where Undefined/Discontinuous (3x)/(1-3x)

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

Step 1

Set the denominator in $\frac{3 x}{1 - 3 x}$ equal to $0$ to find where the expression is undefined.

$1 - 3 x = 0$

Step 2

Solve for $x$ .

Subtract $1$ from both sides of the equation.

$- 3 x = - 1$

Divide each term in $- 3 x = - 1$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 1$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 1}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 1}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 1}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{1}{3}$

Step 3