(f(-3))

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find g(f(-3))

### Evaluating Composite Functions Using Graphs

**Objective:**
Learn how to evaluate a composite function using the graphs of two functions \( f \) and \( g \), specifically evaluating \( (g \circ f)(x) - 3 \).

**Problem Statement:**
Use the graphs of functions \( f \) and \( g \) to evaluate the composite function, \( (g \circ f)(x) - 3 \).

**Graph Explanation:**
The provided graph displays two functions: \( f(x) \) and \( g(x) \).

1. **Graph of \( f(x) \) (Red Line):**
   - The function is a straight line.
   - It is indicated in red.

2. **Graph of \( g(x) \) (Blue Line):**
   - The function is another straight line.
   - It is indicated in blue.

The graph is a standard Cartesian plane with:
- The x-axis ranging from -10 to 10.
- The y-axis ranging from -10 to 10.
- Grid lines for precise reading of values.

**Task:**
Enter your answer in the provided answer box by interpreting the values from the graph and performing necessary calculations for the composite function \( (g \circ f)(x) - 3 \).

---

*Interactive Component:*
The interface seems to include a section to input and validate your computed answer, encouraging active engagement and understanding.
Transcribed Image Text:### Evaluating Composite Functions Using Graphs **Objective:** Learn how to evaluate a composite function using the graphs of two functions \( f \) and \( g \), specifically evaluating \( (g \circ f)(x) - 3 \). **Problem Statement:** Use the graphs of functions \( f \) and \( g \) to evaluate the composite function, \( (g \circ f)(x) - 3 \). **Graph Explanation:** The provided graph displays two functions: \( f(x) \) and \( g(x) \). 1. **Graph of \( f(x) \) (Red Line):** - The function is a straight line. - It is indicated in red. 2. **Graph of \( g(x) \) (Blue Line):** - The function is another straight line. - It is indicated in blue. The graph is a standard Cartesian plane with: - The x-axis ranging from -10 to 10. - The y-axis ranging from -10 to 10. - Grid lines for precise reading of values. **Task:** Enter your answer in the provided answer box by interpreting the values from the graph and performing necessary calculations for the composite function \( (g \circ f)(x) - 3 \). --- *Interactive Component:* The interface seems to include a section to input and validate your computed answer, encouraging active engagement and understanding.
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