In Problems 39–46, show that (f ° g) (x) = (g° f) (x) = x. %3D 39. f(x) = 2x; g(x) = 40. f(x) = 4x; g(x) = i* 41. f(x) = x; g(x) %3! %3D 43. f(x) = 2x – 6; 8(x) = ; (x + 6) 46. fl+) = s(*) = 42. f(x) = x + 5; g(x) = x - 5 44. f(x) = 4 – 3x; g(x) = (4 - x) %3D 45. f(x) = ax + b; g(x) = - (x - b) a + 0 %3D a

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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In Problems 39–46, show that (f ° g) (x) = (g° f) (x) = x.
%3D
39. f(x) = 2x; g(x) =
40. f(x)
= 4x; g(x) = i*
41. f(x) = x; g(x)
%3!
%3D
43. f(x) = 2x – 6; 8(x) = ; (x + 6)
46. fl+) = s(*) =
42. f(x) = x + 5; g(x) = x - 5
44. f(x) = 4 – 3x; g(x) = (4 - x)
%3D
45. f(x) = ax + b; g(x) = - (x - b) a + 0
%3D
a
Transcribed Image Text:In Problems 39–46, show that (f ° g) (x) = (g° f) (x) = x. %3D 39. f(x) = 2x; g(x) = 40. f(x) = 4x; g(x) = i* 41. f(x) = x; g(x) %3! %3D 43. f(x) = 2x – 6; 8(x) = ; (x + 6) 46. fl+) = s(*) = 42. f(x) = x + 5; g(x) = x - 5 44. f(x) = 4 – 3x; g(x) = (4 - x) %3D 45. f(x) = ax + b; g(x) = - (x - b) a + 0 %3D a
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