Find Where Undefined/Discontinuous y=3/(4x+64)

$y = \frac{3}{4 x + 64}$

Step 1

Set the denominator in $\frac{3}{4 x + 64}$ equal to $0$ to find where the expression is undefined.

$4 x + 64 = 0$

Step 2

Solve for $x$ .

Subtract $64$ from both sides of the equation.

$4 x = - 64$

Divide each term in $4 x = - 64$ by $4$ and simplify.

Divide each term in $4 x = - 64$ by $4$ .

$\frac{4 x}{4} = \frac{- 64}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 64}{4}$

Divide $x$ by $1$ .

$x = \frac{- 64}{4}$

Simplify the right side.

Divide $- 64$ by $4$ .

$x = - 16$

Step 3