Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x). O a b O c Od x + 3 -11x + 3 -11x - 11 X-11

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,...
icon
Related questions
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) \( x - 11 \).
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) \( x - 11 \).
Expert Solution
Step 1

Algebra homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education