Evaluate the Function f(-2)=3x^2-x-2

$f (- 2) = 3 x^{2} - x - 2$

Step 1

Replace the variable $x$ with $- 2$ in the expression.

$f (- 2) = 3 {(- 2)}^{2} - (- 2) - 2$

Step 2

Simplify the result.

Simplify each term.

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

$f (- 2) = 3 \cdot 4 - (- 2) - 2$

Multiply $3$ by $4$ .

$f (- 2) = 12 - (- 2) - 2$

Multiply $- 1$ by $- 2$ .

$f (- 2) = 12 + 2 - 2$

Simplify by adding and subtracting.

Add $12$ and $2$ .

$f (- 2) = 14 - 2$

Subtract $2$ from $14$ .

$f (- 2) = 12$

The final answer is $12$ .

$12$

Step 3