Evaluate Using the Given Value f(-7)=(-3(-7)^2-7)/2

$f (- 7) = \frac{- 3 {(- 7)}^{2} - 7}{2}$

Step 1

Simplify the numerator.

Raise $- 7$ to the power of $2$ .

$f (- 7) = \frac{- 3 \cdot 49 - 7}{2}$

Multiply $- 3$ by $49$ .

$f (- 7) = \frac{- 147 - 7}{2}$

Subtract $7$ from $- 147$ .

$f (- 7) = \frac{- 154}{2}$

Step 2

Divide $- 154$ by $2$ .

$f (- 7) = - 77$