Question
Given \( n(x)=-3|x|-8 x-9 \), answer the following: Part 1 of 5 (a) Find \( n(-x) \). \( n(-x)=-3|x|+8 x-9 \) Part: \( 1 / 5 \) Part 2 of 5 (b) Find \( -n(x) \)
Ask by Mcdonald Garrett. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(-n(x) = 3|x| + 8x + 9\)
Solution
**Step 1. Write the expression for \( n(x) \):**
\[
n(x) = -3|x| - 8x - 9
\]
---
**Step 2. Multiply \( n(x) \) by \(-1\) to find \(-n(x)\):**
\[
-n(x) = -\bigl(-3|x| - 8x - 9\bigr)
\]
---
**Step 3. Distribute the negative sign:**
\[
-n(x) = 3|x| + 8x + 9
\]
---
**Final Answer:**
\[
-n(x) = 3|x| + 8x + 9
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
To find \( -n(x) \), we simply take the negative of the entire function \( n(x) \): \[ n(x) = -3|x| - 8x - 9 \] Therefore, \[ -n(x) = -(-3|x| - 8x - 9) = 3|x| + 8x + 9 \] So, \( -n(x) = 3|x| + 8x + 9 \).
