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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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**Using Graphs to Evaluate Function Expressions** The image includes two graphs depicting the functions \( f(x) \) and \( g(x) \). Each graph is plotted on a coordinate grid with the x-axis and y-axis ranging from -1 to 6. **Graph of \( f(x) \):** - The graph shows a line passing through various points: (0, 4), (1, 2), (2, 5), (3, 1), (4, 3), and (5, 0). **Graph of \( g(x) \):** - This graph shows a line passing through the points: (0, 3), (1, 5), (2, 4), (3, 1), (4, 2), and (5, 0). **Tasks:** - Evaluate the following expressions using the graphs: 1. \( f(g(0)) \) 2. \( g(f(3)) \) 3. \( f(f(5)) \) 4. \( g(g(1)) \) - **Hint for Evaluation:** To evaluate these expressions, find the value of the inner function using its graph and then use that value as the input for the outer function on its graph.
Transcribed Image Text:**Using Graphs to Evaluate Function Expressions** The image includes two graphs depicting the functions \( f(x) \) and \( g(x) \). Each graph is plotted on a coordinate grid with the x-axis and y-axis ranging from -1 to 6. **Graph of \( f(x) \):** - The graph shows a line passing through various points: (0, 4), (1, 2), (2, 5), (3, 1), (4, 3), and (5, 0). **Graph of \( g(x) \):** - This graph shows a line passing through the points: (0, 3), (1, 5), (2, 4), (3, 1), (4, 2), and (5, 0). **Tasks:** - Evaluate the following expressions using the graphs: 1. \( f(g(0)) \) 2. \( g(f(3)) \) 3. \( f(f(5)) \) 4. \( g(g(1)) \) - **Hint for Evaluation:** To evaluate these expressions, find the value of the inner function using its graph and then use that value as the input for the outer function on its graph.
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