Find Where Undefined/Discontinuous 4/(9x)

$\frac{4}{9 x}$

Step 1

Set the denominator in $\frac{4}{9 x}$ equal to $0$ to find where the expression is undefined.

$9 x = 0$

Step 2

Divide each term in $9 x = 0$ by $9$ and simplify.

Divide each term in $9 x = 0$ by $9$ .

$\frac{9 x}{9} = \frac{0}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{0}{9}$

Divide $x$ by $1$ .

$x = \frac{0}{9}$

Simplify the right side.

Divide $0$ by $9$ .

$x = 0$

Step 3