Evaluate Using the Given Value f(-2)=24/(3(-2)-2)

$f (- 2) = \frac{24}{3 (- 2) - 2}$

Step 1

Cancel the common factor of $24$ and $3 (- 2) - 2$ .

Factor $2$ out of $24$ .

$f (- 2) = \frac{2 (12)}{3 (- 2) - 2}$

Cancel the common factors.

Factor $2$ out of $3 (- 2)$ .

$f (- 2) = \frac{2 (12)}{2 (3 \cdot (- 1)) - 2}$

Factor $2$ out of $- 2$ .

$f (- 2) = \frac{2 \cdot 12}{2 (3 \cdot (- 1)) + 2 \cdot - 1}$

Factor $2$ out of $2 (3 \cdot (- 1)) + 2 (- 1)$ .

$f (- 2) = \frac{2 (12)}{2 (3 \cdot (- 1) - 1)}$

Cancel the common factor.

$f (- 2) = \frac{2 \cdot 12}{2 (3 \cdot (- 1) - 1)}$

Rewrite the expression.

$f (- 2) = \frac{12}{3 \cdot (- 1) - 1}$

Step 2

Simplify the denominator.

Multiply $3$ by $- 1$ .

$f (- 2) = \frac{12}{- 3 - 1}$

Subtract $1$ from $- 3$ .

$f (- 2) = \frac{12}{- 4}$

Step 3

Divide $12$ by $- 4$ .

$f (- 2) = - 3$