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

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

Step 1

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

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

Step 2

Simplify the result.

Simplify each term.

Multiply $- 2$ by ${(- 2)}^{3}$ by adding the exponents.

Multiply $- 2$ by ${(- 2)}^{3}$ .

Raise $- 2$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$g (- 2) = {(- 2)}^{1 + 3} - 3$

Add $1$ and $3$ .

$g (- 2) = {(- 2)}^{4} - 3$

Raise $- 2$ to the power of $4$ .

$g (- 2) = 16 - 3$

Subtract $3$ from $16$ .

$g (- 2) = 13$

The final answer is $13$ .

$13$

Step 3