Find Where Undefined/Discontinuous (4t)/(3t+15)

$\frac{4 t}{3 t + 15}$

Step 1

Set the denominator in $\frac{4 t}{3 t + 15}$ equal to $0$ to find where the expression is undefined.

$3 t + 15 = 0$

Step 2

Solve for $t$ .

Subtract $15$ from both sides of the equation.

$3 t = - 15$

Divide each term in $3 t = - 15$ by $3$ and simplify.

Divide each term in $3 t = - 15$ by $3$ .

$\frac{3 t}{3} = \frac{- 15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 t}{3} = \frac{- 15}{3}$

Divide $t$ by $1$ .

$t = \frac{- 15}{3}$

Simplify the right side.

Divide $- 15$ by $3$ .

$t = - 5$

Step 3