Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the functions f(x) = 3x- 12 and g(x) =+4. (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other. (a) What is f(g(x))? f(g(x)) =O (Simplify your answer.) Give any values of x that need to be excluded from f(g(x)). Select the correct choice below and fill in any answer boxes within your choice. O A. x# (Use a comma to separate answers as needed.) O B. No values should be excluded from the domain. (b) What is g(f(x))? g(f(x)) =| (Simplify your answer.) Give any values of x that need to be excluded from g(f(x)). Select the correct choice below and fill in any answer boxes within your choice. O A. x# (Use a comma to separate answers as needed.) O B. No values should be excluded from the domain. (c) Are the functions f and g inverses of each other? Choose the correct answer below. Yes No
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Transcribed Image Text:Consider the functions f(x) = 3x- 12 and g(x) =+4. (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other. (a) What is f(g(x))? f(g(x)) =O (Simplify your answer.) Give any values of x that need to be excluded from f(g(x)). Select the correct choice below and fill in any answer boxes within your choice. O A. x# (Use a comma to separate answers as needed.) O B. No values should be excluded from the domain. (b) What is g(f(x))? g(f(x)) =| (Simplify your answer.) Give any values of x that need to be excluded from g(f(x)). Select the correct choice below and fill in any answer boxes within your choice. O A. x# (Use a comma to separate answers as needed.) O B. No values should be excluded from the domain. (c) Are the functions f and g inverses of each other? Choose the correct answer below. Yes No
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