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Given f(x) = 2x² + 1 and g(x) = 8x 9, find the following. (a) f(g(2)) (b) f(g(x)) (c) g(f(x)) (d) (g° g)(x) (e) (f°f)(-2)

Given f(x) = 2x² + 1 and g(x) = 8x 9, find the following. (a) f(g(2)) (b) f(g(x)) (c) g(f(x)) (d) (g° g)(x) (e) (f°f)(-2)

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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Given \( f(x) = 2x^2 + 1 \) and \( g(x) = 8x - 9 \), find the following: (a) \( f(g(2)) \) [Answer Box] (b) \( f(g(x)) \) [Answer Box] (c) \( g(f(x)) \) [Answer Box] (d) \( (g \circ g)(x) \) [Answer Box] (e) \( (f \circ f)(-2) \) [Answer Box] (Note: The symbol "∘" denotes the composition of functions, so \( (g \circ g)(x) \) means applying the function \( g \) to the result of \( g(x) \).)
Transcribed Image Text:Given \( f(x) = 2x^2 + 1 \) and \( g(x) = 8x - 9 \), find the following: (a) \( f(g(2)) \) [Answer Box] (b) \( f(g(x)) \) [Answer Box] (c) \( g(f(x)) \) [Answer Box] (d) \( (g \circ g)(x) \) [Answer Box] (e) \( (f \circ f)(-2) \) [Answer Box] (Note: The symbol "∘" denotes the composition of functions, so \( (g \circ g)(x) \) means applying the function \( g \) to the result of \( g(x) \).)
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