Find Where Undefined/Discontinuous 7/(4-2t)

$\frac{7}{4 - 2 t}$

Step 1

Set the denominator in $\frac{7}{4 - 2 t}$ equal to $0$ to find where the expression is undefined.

$4 - 2 t = 0$

Step 2

Solve for $t$ .

Subtract $4$ from both sides of the equation.

$- 2 t = - 4$

Divide each term in $- 2 t = - 4$ by $- 2$ and simplify.

Divide each term in $- 2 t = - 4$ by $- 2$ .

$\frac{- 2 t}{- 2} = \frac{- 4}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 t}{- 2} = \frac{- 4}{- 2}$

Divide $t$ by $1$ .

$t = \frac{- 4}{- 2}$

Simplify the right side.

Divide $- 4$ by $- 2$ .

$t = 2$

Step 3