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Use the graphs of f(x) and g(x) to evaluate the expressions below. 6 5 4 3 2 my 1 f(x) f(g(2)) = g(f(1)) = f(f(3)) = g(g(0)) = 2 3 4 5T 2 6-1 6 5 3 2 my g(x) 7 N St 5 X La

Use the graphs of f(x) and g(x) to evaluate the expressions below. 6 5 4 3 2 my 1 f(x) f(g(2)) = g(f(1)) = f(f(3)) = g(g(0)) = 2 3 4 5T 2 6-1 6 5 3 2 my g(x) 7 N St 5 X La

Calculus: Early Transcendentals
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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**Instructions:** Use the graphs of \( f(x) \) and \( g(x) \) to evaluate the expressions below. **Graphs Explanation:** 1. **Graph of \( f(x) \)**: - The graph is plotted on a grid with an \( x \)-axis ranging from 0 to 6 and a \( y \)-axis ranging from 0 to 6. - The points plotted on the graph of \( f(x) \) are approximately: - \( f(1) = 3 \) - \( f(2) = 1 \) - \( f(3) = 4 \) - \( f(4) = 1 \) - \( f(5) = 5 \) 2. **Graph of \( g(x) \)**: - The graph is plotted on a similar grid with an \( x \)-axis and \( y \)-axis ranging from 0 to 6. - The points plotted on the graph of \( g(x) \) are approximately: - \( g(1) = 2 \) - \( g(2) = 5 \) - \( g(3) = 1 \) - \( g(4) = 4 \) - \( g(5) = 3 \) **Expressions to Evaluate:** 1. \( f(g(2)) = \) 2. \( g(f(1)) = \) 3. \( f(f(3)) = \) 4. \( g(g(0)) = \) Use the values from the graphs to fill in the expressions.
Transcribed Image Text:**Instructions:** Use the graphs of \( f(x) \) and \( g(x) \) to evaluate the expressions below. **Graphs Explanation:** 1. **Graph of \( f(x) \)**: - The graph is plotted on a grid with an \( x \)-axis ranging from 0 to 6 and a \( y \)-axis ranging from 0 to 6. - The points plotted on the graph of \( f(x) \) are approximately: - \( f(1) = 3 \) - \( f(2) = 1 \) - \( f(3) = 4 \) - \( f(4) = 1 \) - \( f(5) = 5 \) 2. **Graph of \( g(x) \)**: - The graph is plotted on a similar grid with an \( x \)-axis and \( y \)-axis ranging from 0 to 6. - The points plotted on the graph of \( g(x) \) are approximately: - \( g(1) = 2 \) - \( g(2) = 5 \) - \( g(3) = 1 \) - \( g(4) = 4 \) - \( g(5) = 3 \) **Expressions to Evaluate:** 1. \( f(g(2)) = \) 2. \( g(f(1)) = \) 3. \( f(f(3)) = \) 4. \( g(g(0)) = \) Use the values from the graphs to fill in the expressions.
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