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Jesse would like to determine if the following are inverse functions. f(x) = 30 – 4 g(x) = 4-3r Which option proves that these two functions are NOT inverses of each other?

Jesse would like to determine if the following are inverse functions. f(x) = 30 – 4 g(x) = 4-3r Which option proves that these two functions are NOT inverses of each other?

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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Jesse would like to determine if the following are inverse functions. f(x) = 3x - 4 g(a) = 4 – 3 Which option proves that these two functions are NOT inverses of each other? f(=) f(z) g(z) 3z-4 4-3r 4-3z g(z) 一=-1 f(x)-g(a) 3x-4-(4 3æ) = 3x -4- 4+ 3x g(x) - f(x) = 4 – 3x- (3x- 4) = 4-3x- 3x + +4 = 6x - 8 = 8 - 6z ©2021Illuminate Education TM, Inc. %23
Transcribed Image Text:Jesse would like to determine if the following are inverse functions. f(x) = 3x - 4 g(a) = 4 – 3 Which option proves that these two functions are NOT inverses of each other? f(=) f(z) g(z) 3z-4 4-3r 4-3z g(z) 一=-1 f(x)-g(a) 3x-4-(4 3æ) = 3x -4- 4+ 3x g(x) - f(x) = 4 – 3x- (3x- 4) = 4-3x- 3x + +4 = 6x - 8 = 8 - 6z ©2021Illuminate Education TM, Inc. %23
= 3x - 4- 4+3x =4-3x- 3x++4 = 6x - 8 =8-6x %3D f(x) +g(x) = 3x - 4+4 - 3x g(x) + f(x) = 4- 3a +3x- 4 = 0 = 0 f(g(a)) 3(4- 3x) – 4 g(f(x)) = 4- 3(3x – 4) = 12 – 9x- 4 = 4 - 9x + 12 = 8-9x = 16 – 9x ©2021 Illuminate Education TM, Inc. B.
Transcribed Image Text:= 3x - 4- 4+3x =4-3x- 3x++4 = 6x - 8 =8-6x %3D f(x) +g(x) = 3x - 4+4 - 3x g(x) + f(x) = 4- 3a +3x- 4 = 0 = 0 f(g(a)) 3(4- 3x) – 4 g(f(x)) = 4- 3(3x – 4) = 12 – 9x- 4 = 4 - 9x + 12 = 8-9x = 16 – 9x ©2021 Illuminate Education TM, Inc. B.
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