B. Compose the function f and g and determine, from your answer, if the functions f and g are inverses of each other. (a) f(x) = (x+3)² – 7, g(x) = Vx +7 – 3. (Assume the domain of f(x) is [-3, 00).) %3D %3D 1 = -x - 7. 3 (b) f(x) = 3x + 7, g(x) %3D x - 7 (c) f(x) = 2\r – 5 + 7, g(x) = (",")³ + 5. 3 (x – 7)3 (d) f(x) + 5, g(x) = 2r – 5+7. 2

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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Please answer all the following questions. Thank you.
B. Compose the function f and g and determine, from your
answer, if the functions f and g are inverses of each other.
(a) f(x) = (x +3)² – 7, g(x) = /x +7– 3. (Assume the domain of f(x) is [-3, 0).)
|
(b) f(x) = 3x + 7, g(x) = r-7
(c) f(x) = 2\x – 5+7, g(x) = (",")³ + 5.
(x – 7)3
(d) f(x) =
2
I+5, g(2) = 2NE – 5 + 7.
%3D
Transcribed Image Text:B. Compose the function f and g and determine, from your answer, if the functions f and g are inverses of each other. (a) f(x) = (x +3)² – 7, g(x) = /x +7– 3. (Assume the domain of f(x) is [-3, 0).) | (b) f(x) = 3x + 7, g(x) = r-7 (c) f(x) = 2\x – 5+7, g(x) = (",")³ + 5. (x – 7)3 (d) f(x) = 2 I+5, g(2) = 2NE – 5 + 7. %3D
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