### Question 9 Suppose \( f(x) = 8x + 9 \) and \( g(x) = -4x^2 - 5x + 1 \). Then \( (fg)(x) = \) [Input Box] Show your work here: [Editable Text Area with formatting options] ### Question 10 Suppose \( f(x) = x^2 + 4x - 5 \) and \( g(x) = 5x^2 + 5x - 4 \). \( (f - g)(x) = \) [Input Box] Show your work here: [Editable Text Area with formatting options] --- These questions require performing operations on functions. In Question 9, you are asked to find the product of two functions, \( f(x) \) and \( g(x) \). In Question 10, you need to find the difference between two functions. Use the provided area to show the detailed steps involved in solving these problems.
### Question 9 Suppose \( f(x) = 8x + 9 \) and \( g(x) = -4x^2 - 5x + 1 \). Then \( (fg)(x) = \) [Input Box] Show your work here: [Editable Text Area with formatting options] ### Question 10 Suppose \( f(x) = x^2 + 4x - 5 \) and \( g(x) = 5x^2 + 5x - 4 \). \( (f - g)(x) = \) [Input Box] Show your work here: [Editable Text Area with formatting options] --- These questions require performing operations on functions. In Question 9, you are asked to find the product of two functions, \( f(x) \) and \( g(x) \). In Question 10, you need to find the difference between two functions. Use the provided area to show the detailed steps involved in solving these problems.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![### Question 9
Suppose \( f(x) = 8x + 9 \) and \( g(x) = -4x^2 - 5x + 1 \).
Then \( (fg)(x) = \) [Input Box]
Show your work here:
[Editable Text Area with formatting options]
### Question 10
Suppose \( f(x) = x^2 + 4x - 5 \) and \( g(x) = 5x^2 + 5x - 4 \).
\( (f - g)(x) = \) [Input Box]
Show your work here:
[Editable Text Area with formatting options]
---
These questions require performing operations on functions. In Question 9, you are asked to find the product of two functions, \( f(x) \) and \( g(x) \). In Question 10, you need to find the difference between two functions. Use the provided area to show the detailed steps involved in solving these problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d86ef11-d8e1-424d-bbc1-9c78a6ce6a5d%2Fb8dbe271-4377-493f-b061-909e4c20c9f4%2Ftf5zt7.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 9
Suppose \( f(x) = 8x + 9 \) and \( g(x) = -4x^2 - 5x + 1 \).
Then \( (fg)(x) = \) [Input Box]
Show your work here:
[Editable Text Area with formatting options]
### Question 10
Suppose \( f(x) = x^2 + 4x - 5 \) and \( g(x) = 5x^2 + 5x - 4 \).
\( (f - g)(x) = \) [Input Box]
Show your work here:
[Editable Text Area with formatting options]
---
These questions require performing operations on functions. In Question 9, you are asked to find the product of two functions, \( f(x) \) and \( g(x) \). In Question 10, you need to find the difference between two functions. Use the provided area to show the detailed steps involved in solving these problems.
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