Evaluate Using the Given Value f(5)=(5-9)/(3(5)+3)

$f (5) = \frac{5 - 9}{3 (5) + 3}$

Step 1

Subtract $9$ from $5$ .

$f (5) = \frac{- 4}{3 (5) + 3}$

Step 2

Simplify the denominator.

Multiply $3$ by $5$ .

$f (5) = \frac{- 4}{15 + 3}$

Add $15$ and $3$ .

$f (5) = \frac{- 4}{18}$

Step 3

Reduce the expression by cancelling the common factors.

Cancel the common factor of $- 4$ and $18$ .

Factor $2$ out of $- 4$ .

$f (5) = \frac{2 (- 2)}{18}$

Cancel the common factors.

Factor $2$ out of $18$ .

$f (5) = \frac{2 \cdot - 2}{2 \cdot 9}$

Cancel the common factor.

$f (5) = \frac{2 \cdot - 2}{2 \cdot 9}$

Rewrite the expression.

$f (5) = \frac{- 2}{9}$

Move the negative in front of the fraction.

$f (5) = - \frac{2}{9}$