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**Evaluate \( g(f(2)) \) Using Graphs of \( f \) and \( g \)** This section provides a step-by-step guide on evaluating \( g(f(2)) \) using the provided graphs of functions \( f \) and \( g \). ### Graph Description: 1. **Function \( f \):** - Appears as a downward V-shaped graph. - Starts at point \((-2, 1)\), descends diagonally and reaches a minimum at \((2, -2)\), then rises again. - Relevant point for calculation: \( f(2) = -2 \). 2. **Function \( g \):** - Depicted as a wavy curve. - Passes through important points such as \((2, 4)\). - Relevant point for calculation: \( g(-2) = 1 \). ### Calculation Process: - First, find \( f(2) \) using the graph of \( f \). At \( x = 2 \), the corresponding \( y \)-value is \(-2\). - Next, use this result in the graph of \( g \) to find \( g(-2) \). At \( x = -2 \), the \( y \)-value given by \( g \) is \( 1 \). ### Conclusion: Therefore, \( g(f(2)) = g(-2) = 1 \). ### Multiple Choice Options: - \( 0 \) - \( 2 \) - **\( -2 \)** - \( 4 \) - **\( 1 \)** (Correct Answer) Press the "Check Answer" button to confirm your selection.

**Evaluate \( g(f(2)) \) Using Graphs of \( f \) and \( g \)** This section provides a step-by-step guide on evaluating \( g(f(2)) \) using the provided graphs of functions \( f \) and \( g \). ### Graph Description: 1. **Function \( f \):** - Appears as a downward V-shaped graph. - Starts at point \((-2, 1)\), descends diagonally and reaches a minimum at \((2, -2)\), then rises again. - Relevant point for calculation: \( f(2) = -2 \). 2. **Function \( g \):** - Depicted as a wavy curve. - Passes through important points such as \((2, 4)\). - Relevant point for calculation: \( g(-2) = 1 \). ### Calculation Process: - First, find \( f(2) \) using the graph of \( f \). At \( x = 2 \), the corresponding \( y \)-value is \(-2\). - Next, use this result in the graph of \( g \) to find \( g(-2) \). At \( x = -2 \), the \( y \)-value given by \( g \) is \( 1 \). ### Conclusion: Therefore, \( g(f(2)) = g(-2) = 1 \). ### Multiple Choice Options: - \( 0 \) - \( 2 \) - **\( -2 \)** - \( 4 \) - **\( 1 \)** (Correct Answer) Press the "Check Answer" button to confirm your selection.

Algebra and Trigonometry (6th Edition)
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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**Evaluate \( g(f(2)) \) Using Graphs of \( f \) and \( g \)** This section provides a step-by-step guide on evaluating \( g(f(2)) \) using the provided graphs of functions \( f \) and \( g \). ### Graph Description: 1. **Function \( f \):** - Appears as a downward V-shaped graph. - Starts at point \((-2, 1)\), descends diagonally and reaches a minimum at \((2, -2)\), then rises again. - Relevant point for calculation: \( f(2) = -2 \). 2. **Function \( g \):** - Depicted as a wavy curve. - Passes through important points such as \((2, 4)\). - Relevant point for calculation: \( g(-2) = 1 \). ### Calculation Process: - First, find \( f(2) \) using the graph of \( f \). At \( x = 2 \), the corresponding \( y \)-value is \(-2\). - Next, use this result in the graph of \( g \) to find \( g(-2) \). At \( x = -2 \), the \( y \)-value given by \( g \) is \( 1 \). ### Conclusion: Therefore, \( g(f(2)) = g(-2) = 1 \). ### Multiple Choice Options: - \( 0 \) - \( 2 \) - **\( -2 \)** - \( 4 \) - **\( 1 \)** (Correct Answer) Press the "Check Answer" button to confirm your selection.
Transcribed Image Text:**Evaluate \( g(f(2)) \) Using Graphs of \( f \) and \( g \)** This section provides a step-by-step guide on evaluating \( g(f(2)) \) using the provided graphs of functions \( f \) and \( g \). ### Graph Description: 1. **Function \( f \):** - Appears as a downward V-shaped graph. - Starts at point \((-2, 1)\), descends diagonally and reaches a minimum at \((2, -2)\), then rises again. - Relevant point for calculation: \( f(2) = -2 \). 2. **Function \( g \):** - Depicted as a wavy curve. - Passes through important points such as \((2, 4)\). - Relevant point for calculation: \( g(-2) = 1 \). ### Calculation Process: - First, find \( f(2) \) using the graph of \( f \). At \( x = 2 \), the corresponding \( y \)-value is \(-2\). - Next, use this result in the graph of \( g \) to find \( g(-2) \). At \( x = -2 \), the \( y \)-value given by \( g \) is \( 1 \). ### Conclusion: Therefore, \( g(f(2)) = g(-2) = 1 \). ### Multiple Choice Options: - \( 0 \) - \( 2 \) - **\( -2 \)** - \( 4 \) - **\( 1 \)** (Correct Answer) Press the "Check Answer" button to confirm your selection.
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Step 1

The last option "1" is the correct option.

From the graph of f determine the value for f(2). The value for f(2) is -2.

Algebra homework question answer, step 1, image 1

 

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