Find Where Undefined/Discontinuous (x^2-16)/(6x-24)

$\frac{x^{2} - 16}{6 x - 24}$

Step 1

Set the denominator in $\frac{x^{2} - 16}{6 x - 24}$ equal to $0$ to find where the expression is undefined.

$6 x - 24 = 0$

Step 2

Solve for $x$ .

Add $24$ to both sides of the equation.

$6 x = 24$

Divide each term in $6 x = 24$ by $6$ and simplify.

Divide each term in $6 x = 24$ by $6$ .

$\frac{6 x}{6} = \frac{24}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{24}{6}$

Divide $x$ by $1$ .

$x = \frac{24}{6}$

Simplify the right side.

Divide $24$ by $6$ .

$x = 4$

Step 3