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Score on last try: > Next question pts. See Video Get a similar question Let f(x) = 2x + 2 and g(x) = 3x² + 5x. After simplifying, (fog)(x) = Question Help: You can retry this question bela 06x² + 10x + 2

Score on last try: > Next question pts. See Video Get a similar question Let f(x) = 2x + 2 and g(x) = 3x² + 5x. After simplifying, (fog)(x) = Question Help: You can retry this question bela 06x² + 10x + 2

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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Let \( f(x) = 2x + 2 \) and \( g(x) = 3x^2 + 5x \). After simplifying, \( (f \circ g)(x) = 6x^2 + 10x + 2 \). --- ### Explanation: This text appears to be part of an educational exercise involving function composition. Here are the key components: - **Score Section**: The image suggests a score from the last attempt, which is "0 of 10 pts," indicating that no points were scored on the last try. There is also an option for "See Details for more." - **Navigation Buttons**: There are buttons such as "Next question" and "Get a similar question" to navigate through the exercise set, along with an option to retry the current question. - **Function Definitions**: - \( f(x) = 2x + 2 \): This defines the first function, \( f \), as a linear function. - \( g(x) = 3x^2 + 5x \): This defines the second function, \( g \), as a quadratic function. - **Function Composition**: The task is to find \( (f \circ g)(x) \), which is the composition of functions \( f \) and \( g \). The result of this composition after simplification is \( 6x^2 + 10x + 2 \). - **Question Help**: There is a "Video" option available to help explain the question further. This setup is common in many online learning platforms where students practice algebraic manipulations such as function composition.
Transcribed Image Text:Let \( f(x) = 2x + 2 \) and \( g(x) = 3x^2 + 5x \). After simplifying, \( (f \circ g)(x) = 6x^2 + 10x + 2 \). --- ### Explanation: This text appears to be part of an educational exercise involving function composition. Here are the key components: - **Score Section**: The image suggests a score from the last attempt, which is "0 of 10 pts," indicating that no points were scored on the last try. There is also an option for "See Details for more." - **Navigation Buttons**: There are buttons such as "Next question" and "Get a similar question" to navigate through the exercise set, along with an option to retry the current question. - **Function Definitions**: - \( f(x) = 2x + 2 \): This defines the first function, \( f \), as a linear function. - \( g(x) = 3x^2 + 5x \): This defines the second function, \( g \), as a quadratic function. - **Function Composition**: The task is to find \( (f \circ g)(x) \), which is the composition of functions \( f \) and \( g \). The result of this composition after simplification is \( 6x^2 + 10x + 2 \). - **Question Help**: There is a "Video" option available to help explain the question further. This setup is common in many online learning platforms where students practice algebraic manipulations such as function composition.
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