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,...
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Question
![**Problem:**
Let \( f(x) = -5x - 4 \) and \( g(x) = 6x - 7 \). Find \( f(x) + g(x) \).
**Options:**
- a) \( x + 3 \)
- b) \(-11x + 3\)
- c) \(-11x - 11\)
- d) \( x - 11 \)
**Solution:**
To find \( f(x) + g(x) \), we add the two functions:
\[ f(x) + g(x) = (-5x - 4) + (6x - 7) \]
Simplifying, we combine like terms:
\[ = -5x + 6x - 4 - 7 \]
\[ = x - 11 \]
Therefore, the correct answer is option d) \( x - 11 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b8f79a9-b6a4-48ca-ab39-5a4f4172185c%2Fdeced57c-fe28-4cc9-8d28-6419317e4b50%2Fhftajtm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
Let \( f(x) = -5x - 4 \) and \( g(x) = 6x - 7 \). Find \( f(x) + g(x) \).
**Options:**
- a) \( x + 3 \)
- b) \(-11x + 3\)
- c) \(-11x - 11\)
- d) \( x - 11 \)
**Solution:**
To find \( f(x) + g(x) \), we add the two functions:
\[ f(x) + g(x) = (-5x - 4) + (6x - 7) \]
Simplifying, we combine like terms:
\[ = -5x + 6x - 4 - 7 \]
\[ = x - 11 \]
Therefore, the correct answer is option d) \( x - 11 \).
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