Find Where Undefined/Discontinuous 1/(-2x+2)

$\frac{1}{- 2 x + 2}$

Step 1

Set the denominator in $\frac{1}{- 2 x + 2}$ equal to $0$ to find where the expression is undefined.

$- 2 x + 2 = 0$

Step 2

Solve for $x$ .

Subtract $2$ from both sides of the equation.

$- 2 x = - 2$

Divide each term in $- 2 x = - 2$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 2$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 2}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 2}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 2}{- 2}$

Simplify the right side.

Divide $- 2$ by $- 2$ .

$x = 1$

Step 3