Evaluating functions: Linear and quadratic or cubic
The functions and are defined as follows.

Find and .
Simplify your answers as much as possible.

Ask by Simmons Mcguire. in the United States

Nov 18,2024

Question

Evaluating functions: Linear and quadratic or cubic
The functions and are defined as follows.

Find and .
Simplify your answers as much as possible.

Ask by Simmons Mcguire. in the United States

Nov 18,2024

UpStudy AI · Accepted Answer

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:

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