Evaluate the Function g(x)=3x^2+2x-2 when x=2

$g (x) = 3 x^{2} + 2 x - 2$ when $x = 2$

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

$g (2) = 3 {(2)}^{2} + 2 (2) - 2$

Simplify the result.

Simplify each term.

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

$g (2) = 3 \cdot 4 + 2 (2) - 2$

Multiply $3$ by $4$ .

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

Multiply $2$ by $2$ .

$g (2) = 12 + 4 - 2$

Simplify by adding and subtracting.

Add $12$ and $4$ .

$g (2) = 16 - 2$

Subtract $2$ from $16$ .

$g (2) = 14$

The final answer is $14$ .

$14$