If f(x) = x² + x + 2 and g(x) = x – 4, find the following. (a) f+g (b) f- g (c) fog (d) gof (e) f(g(3)) (f) g(f(3)) (g) gogog

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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If \( f(x) = x^2 + x + 2 \) and \( g(x) = x - 4 \), find the following.

(a) \( f + g \)  
[Box for answer]

(b) \( f - g \)  
[Box for answer]

(c) \( f \circ g \)  
[Box for answer]

(d) \( g \circ f \)  
[Box for answer]

(e) \( f(g(3)) \)  
[Box for answer]

(f) \( g(f(3)) \)  
[Box for answer]

(g) \( g \circ g \circ g \)  
[Box for answer]
Transcribed Image Text:If \( f(x) = x^2 + x + 2 \) and \( g(x) = x - 4 \), find the following. (a) \( f + g \) [Box for answer] (b) \( f - g \) [Box for answer] (c) \( f \circ g \) [Box for answer] (d) \( g \circ f \) [Box for answer] (e) \( f(g(3)) \) [Box for answer] (f) \( g(f(3)) \) [Box for answer] (g) \( g \circ g \circ g \) [Box for answer]
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