Find Where Undefined/Discontinuous 4/(3x)

$\frac{4}{3 x}$

Step 1

Set the denominator in $\frac{4}{3 x}$ equal to $0$ to find where the expression is undefined.

$3 x = 0$

Step 2

Divide each term in $3 x = 0$ by $3$ and simplify.

Divide each term in $3 x = 0$ by $3$ .

$\frac{3 x}{3} = \frac{0}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{0}{3}$

Divide $x$ by $1$ .

$x = \frac{0}{3}$

Simplify the right side.

Divide $0$ by $3$ .

$x = 0$

Step 3