Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
Given the following functions, find and simplify (f/g)(-1). F(x)=x^3(-4x+2) G(x)=-4x+2
### Question

Given the following functions, find and simplify \(\left(\frac{f}{g}\right)(-1)\).

\[ 
f(x) = x^3(-4x + 2) 
\]

\[ 
g(x) = -4x + 2 
\]

### Provide your answer below:

\[ 
\frac{f}{g}(-1) = \Box 
\]

**Explanation:**

You are given two functions, \( f(x) \) and \( g(x) \). To find the value of \(\left(\frac{f}{g}\right)(-1)\), you should:

1. Substitute \(-1\) for \(x\) in both \(f(x)\) and \(g(x)\).
2. Calculate the values of \(f(-1)\) and \(g(-1)\).
3. Divide the result from \(f(-1)\) by \(g(-1)\).
4. Simplify the expression.

Use the calculator provided to perform these calculations and input your answer in the given box.
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Transcribed Image Text:### Question Given the following functions, find and simplify \(\left(\frac{f}{g}\right)(-1)\). \[ f(x) = x^3(-4x + 2) \] \[ g(x) = -4x + 2 \] ### Provide your answer below: \[ \frac{f}{g}(-1) = \Box \] **Explanation:** You are given two functions, \( f(x) \) and \( g(x) \). To find the value of \(\left(\frac{f}{g}\right)(-1)\), you should: 1. Substitute \(-1\) for \(x\) in both \(f(x)\) and \(g(x)\). 2. Calculate the values of \(f(-1)\) and \(g(-1)\). 3. Divide the result from \(f(-1)\) by \(g(-1)\). 4. Simplify the expression. Use the calculator provided to perform these calculations and input your answer in the given box.
Expert Solution
Check Mark
Step 1: We have given two functions

f(x)=x3(4x+2)g(x)=4x+2

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