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Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). f(x) = 2x², g(x) = x-1 a. f(g(x)) = |2x² - 4x + 2 ✔ b. g(f(x)) = |2x² − 1 ✔ c. f(f(x)) = 8x4 ✔ State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: 76°F Sunny x>-1 x>-2 x>1 X, Range: X, Range: X. Range: 0 y>-1 V>0

Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). f(x) = 2x², g(x) = x-1 a. f(g(x)) = |2x² - 4x + 2 ✔ b. g(f(x)) = |2x² − 1 ✔ c. f(f(x)) = 8x4 ✔ State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: 76°F Sunny x>-1 x>-2 x>1 X, Range: X, Range: X. Range: 0 y>-1 V>0

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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Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). f(x) = 2x², g(x) = x-1 a. f(g(x)) = |2x² - 4x + 2 ✔ b. g(f(x)) = 2x² - 1 ✔ c. f(f(x)) = 8x4 ✔ State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: 76°F Sunny x>-1 x≥-2 x>1 X, Range: X, Range: 1 X. Range: 0 y>-1 V> 0
Transcribed Image Text:Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). f(x) = 2x², g(x) = x-1 a. f(g(x)) = |2x² - 4x + 2 ✔ b. g(f(x)) = 2x² - 1 ✔ c. f(f(x)) = 8x4 ✔ State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: 76°F Sunny x>-1 x≥-2 x>1 X, Range: X, Range: 1 X. Range: 0 y>-1 V> 0
g(f(x)) = 2x² - 1 ✔ . f(f(x)) = 8x4 State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: x>-1 X, Range: x>-2 X, Range: x>-2 x21 X, Range: :x>-1 #x>0 y > 0 y2-1 Y≥0 :x>1 ✓ ✓ #y≥-1 :y>0 #y≥1 #y22 ::All real numbers
Transcribed Image Text:g(f(x)) = 2x² - 1 ✔ . f(f(x)) = 8x4 State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: x>-1 X, Range: x>-2 X, Range: x>-2 x21 X, Range: :x>-1 #x>0 y > 0 y2-1 Y≥0 :x>1 ✓ ✓ #y≥-1 :y>0 #y≥1 #y22 ::All real numbers
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