The functions $$ f $$ and $$ g $$ are defined as follows. $$ f(x)=2 x+2 \quad g(x)=2 x^{3}+2 $$ Find $$ f(-6) $$ and $$ g(-4) $$ Simplify your answers as much as possible. $$ f(-6)=\square $$ $$ g(-4)=\square $$

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We are given the functions
$$
f(x)=2x+2 \quad \text{and} \quad g(x)=2x^3+2.
$$

**Step 1. Evaluate $$ f(-6) $$:**

Substitute $$-6$$ into $$ f(x) $$:
$$
f(-6) = 2(-6) + 2.
$$
Simplify:
$$
f(-6) = -12 + 2 = -10.
$$

**Step 2. Evaluate $$ g(-4) $$:**

Substitute $$-4$$ into $$ g(x) $$:
$$
g(-4) = 2(-4)^3 + 2.
$$
Calculate the cube:
$$
(-4)^3 = -64.
$$
Then,
$$
g(-4) = 2(-64) + 2.
$$
Simplify:
$$
g(-4) = -128 + 2 = -126.
$$

The final answers are:
$$
f(-6) = -10 \quad \text{and} \quad g(-4) = -126.
$$
$$ f(-6) = -10 $$ and $$ g(-4) = -126 $$.

The functions and are defined as follows.

Find and
Simplify your answers as much as possible.

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The functions and are defined as follows. Find and Simplify your answers as much as possible.