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Evaluate: f(g(-5)) y = f(x) y g(x) 10 10 8. 9. 7. 6. 4 13 2 -10-9-8 -7 -6 -5 -4 -3 --1 123 5 6 7 8 9 10 -10-9 -8 -6 -5 -4 -3-2 -1 1 2345678 1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -8 -8 -9 -10 -10.

Evaluate: f(g(-5)) y = f(x) y g(x) 10 10 8. 9. 7. 6. 4 13 2 -10-9-8 -7 -6 -5 -4 -3 --1 123 5 6 7 8 9 10 -10-9 -8 -6 -5 -4 -3-2 -1 1 2345678 1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -8 -8 -9 -10 -10.

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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# Evaluate: \( f(g(-5)) \) ## Graphs ### Left Graph: \( y = f(x) \) - This graph displays a parabola, which opens downwards. - The vertex of the parabola is at (2, 8). - The x-intercepts appear around (-1, 0) and (5, 0). - The parabola is symmetrical around the line \( x = 2 \). ### Right Graph: \( y = g(x) \) - This graph displays a V-shaped graph, characteristic of an absolute value function. - The vertex is at the origin (0, 0). - The graph has linear sections extending from the vertex with slopes of 1 and -1, creating symmetry along the y-axis. ## Problem Evaluate \( f(g(-5)) \). ## Solution Steps: 1. Identify \( g(-5) \) from the graph. - For \( x = -5 \), find the corresponding \( y \)-value. - From the graph of \( g(x) \), \( g(-5) = 5 \). 2. Substitute \( g(-5) \) into \( f \): \( f(5) \). - For \( x = 5 \) in the graph of \( f(x) \), find the corresponding \( y \)-value. - From the graph of \( f(x) \), \( f(5) = 0 \). ## Final Answer - \( f(g(-5)) = 0 \) **Answer: (Enter into the box provided):** 0 *Submit Answer*
Transcribed Image Text:# Evaluate: \( f(g(-5)) \) ## Graphs ### Left Graph: \( y = f(x) \) - This graph displays a parabola, which opens downwards. - The vertex of the parabola is at (2, 8). - The x-intercepts appear around (-1, 0) and (5, 0). - The parabola is symmetrical around the line \( x = 2 \). ### Right Graph: \( y = g(x) \) - This graph displays a V-shaped graph, characteristic of an absolute value function. - The vertex is at the origin (0, 0). - The graph has linear sections extending from the vertex with slopes of 1 and -1, creating symmetry along the y-axis. ## Problem Evaluate \( f(g(-5)) \). ## Solution Steps: 1. Identify \( g(-5) \) from the graph. - For \( x = -5 \), find the corresponding \( y \)-value. - From the graph of \( g(x) \), \( g(-5) = 5 \). 2. Substitute \( g(-5) \) into \( f \): \( f(5) \). - For \( x = 5 \) in the graph of \( f(x) \), find the corresponding \( y \)-value. - From the graph of \( f(x) \), \( f(5) = 0 \). ## Final Answer - \( f(g(-5)) = 0 \) **Answer: (Enter into the box provided):** 0 *Submit Answer*
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Step 1

We have to calculate f(g(-5)) using the graph of f(x) and g(x).

To do so, we need to calculate g(-5) from the graph of g(x).

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