Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0dbddf9-08e8-446e-97c9-78b49c293188%2F34a31853-a47f-48ae-a392-ce9aa8475c87%2Fbj79txe_processed.jpeg&w=3840&q=75)
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
Step 1: We have given two functions
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Solved in 3 steps
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