Find Where Undefined/Discontinuous 7/(6-3t)

$\frac{7}{6 - 3 t}$

Step 1

Set the denominator in $\frac{7}{6 - 3 t}$ equal to $0$ to find where the expression is undefined.

$6 - 3 t = 0$

Step 2

Solve for $t$ .

Subtract $6$ from both sides of the equation.

$- 3 t = - 6$

Divide each term in $- 3 t = - 6$ by $- 3$ and simplify.

Divide each term in $- 3 t = - 6$ by $- 3$ .

$\frac{- 3 t}{- 3} = \frac{- 6}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 t}{- 3} = \frac{- 6}{- 3}$

Divide $t$ by $1$ .

$t = \frac{- 6}{- 3}$

Simplify the right side.

Divide $- 6$ by $- 3$ .

$t = 2$

Step 3