Evaluating functions: Linear and quadratic or cubic The functions $$ f $$ and $$ g $$ are defined as follows. $$ f(x)=4 x+2 \quad g(x)=-2 x^{3}-5 $$ Find $$ f(-7) $$ and $$ g(-2) $$. Simplify your answers as much as possible.

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To find $$ f(-7) $$ and $$ g(-2) $$, we will substitute the given values into the respective functions.

First, we calculate $$ f(-7) $$:

$$
f(x) = 4x + 2
$$
Substituting $$ x = -7 $$:

$$
f(-7) = 4(-7) + 2
$$
$$
= -28 + 2
$$
$$
= -26
$$

Next, we calculate $$ g(-2) $$:

$$
g(x) = -2x^3 - 5
$$
Substituting $$ x = -2 $$:

$$
g(-2) = -2(-2)^3 - 5
$$
Calculating $$ (-2)^3 $$:

$$
(-2)^3 = -8
$$
Now substituting back:

$$
g(-2) = -2(-8) - 5
$$
$$
= 16 - 5
$$
$$
= 11
$$

Thus, the final answers are:

$$
f(-7) = -26
$$
$$
g(-2) = 11
$$
$$ f(-7) = -26 $$, $$ g(-2) = 11 $$

Evaluating functions: Linear and quadratic or cubic The functions \( f \) and \( g \) are defined as follows. \[ f(x)=4 x+2 \quad g(x)=-2 x^{3}-5 \] Find \( f(-7) \) and \( g(-2) \). Simplify your answers as much as possible.

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