suppose $f(x) = -x^2 - 3x + 3$. compute the following:
a.) $f(-5) + f(5) = $
b.) $f(-5) - f(5) = $

Question

Accepted Answer

### Part A: Compute $ f(-5) + f(5) $
# Explanation:
## Step 1: Compute $ f(-5) $
Substitute $ x = -5 $ into $ f(x) = -x^2 - 3x + 3 $:
$$
\begin{align*}
f(-5) &= -(-5)^2 - 3(-5) + 3 \
&= -25 + 15 + 3 \
&= -7
\end{align*}
$$
## Step 2: Compute $ f(5) $
Substitute $ x = 5 $ into $ f(x) = -x^2 - 3x + 3 $:
$$
\begin{align*}
f(5) &= -(5)^2 - 3(5) + 3 \
&= -25 - 15 + 3 \
&= -37
\end{align*}
$$
## Step 3: Compute $ f(-5) + f(5) $
Add the results from Step 1 and Step 2:
$$
f(-5) + f(5) = -7 + (-37) = -44
$$
# Answer:
$ -44 $

### Part B: Compute $ f(-5) - f(5) $
# Explanation:
## Step 1: Use results from Part A
We already know $ f(-5) = -7 $ and $ f(5) = -37 $ from Part A.
## Step 2: Compute $ f(-5) - f(5) $
Subtract $ f(5) $ from $ f(-5) $:
$$
f(-5) - f(5) = -7 - (-37) = -7 + 37 = 30
$$
# Answer:
$ 30 $

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QUESTION IMAGE

Question

Explanation:

Part A: Compute \( f(-5) + f(5) \)

Step 1: Compute \( f(-5) \)

Step 2: Compute \( f(5) \)

Step 3: Compute \( f(-5) + f(5) \)

Step 1: Use results from Part A

Step 2: Compute \( f(-5) - f(5) \)

Answer:

Part B: Compute \( f(-5) - f(5) \)