Given the following graphs of f and g, find (f o g)(-3). f -7 -2 -4 -6 2.

Calculus: Early Transcendentals
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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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### Composite Function Evaluation

Given the following graphs of \( f \) and \( g \), find \( (f \circ g)(-3) \).

#### Graph Interpretation
- The graph of the function \( f \) is represented by a red line.
- The graph of the function \( g \) is represented by a blue line.

Both functions are plotted on a coordinate system where the x-axis ranges from -8 to 8 and the y-axis ranges from -8 to 8.

**Steps for solving the composite function \( (f \circ g)(-3) \):**
1. Evaluate \( g(-3) \): Find the y-value of the blue graph when \( x = -3 \).
2. Evaluate \( f(g(-3)) \): Using the value found in the first step, find the corresponding y-value on the red graph for that \( g(-3) \).

#### Multiple Choice Answers
a) -2

b) 2

c) 6

d) -3

e) 0

By examining the graph:
1. Identify the y-value of \( g \) at \( x = -3 \).
2. Using this y-value, determine the y-value of \( f \).

*Note: Ensure to use the colors of the lines and their intersections appropriately to determine the correct coordinates.*

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Transcribed Image Text:### Composite Function Evaluation Given the following graphs of \( f \) and \( g \), find \( (f \circ g)(-3) \). #### Graph Interpretation - The graph of the function \( f \) is represented by a red line. - The graph of the function \( g \) is represented by a blue line. Both functions are plotted on a coordinate system where the x-axis ranges from -8 to 8 and the y-axis ranges from -8 to 8. **Steps for solving the composite function \( (f \circ g)(-3) \):** 1. Evaluate \( g(-3) \): Find the y-value of the blue graph when \( x = -3 \). 2. Evaluate \( f(g(-3)) \): Using the value found in the first step, find the corresponding y-value on the red graph for that \( g(-3) \). #### Multiple Choice Answers a) -2 b) 2 c) 6 d) -3 e) 0 By examining the graph: 1. Identify the y-value of \( g \) at \( x = -3 \). 2. Using this y-value, determine the y-value of \( f \). *Note: Ensure to use the colors of the lines and their intersections appropriately to determine the correct coordinates.* ---
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