Calculate f(g(x)) and g(f(x)) for each pair of functions. (Note: the notation (f o g)(x) and (g of)(x) mean the same thing, resp 16. f(x) = 3x +7; g(x) = -4x - 11 17. f(x) = -4x + 60; g(x) =-÷x+ 15 18. f(x) = 10x – 5; g(x) =x+3 19. f(x) = -x+ 4; g(x) = -x+6 20. Look back at your calculations for f(g(x)) and g(f(x)). Two of the pairs c inverses of each other. Which ones do you think they are? Why?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Topic: Composite functions
Calculate f(g(x)) and g(f(x)) for each pair of functions.
(Note: the notation (f o g)(x) and (g o f)(x) mean the same thing, respectively.)
16. f(x) = 3x + 7; g(x) = -4x – 11
17. f(x) = -4x + 60; g(x) = --x + 15
18. f(x) = 10x – 5; g(x) =x+3
19. f(x) = -x + 4; g(x) = -x+6
20. Look back at your calculations for f(g(x)) and g(f(x)). Two of the pairs of equations are
inverses of each other. Which ones do you think they are?
Why?
Iholn? Yisit www.rsgsupport.org
Transcribed Image Text:Topic: Composite functions Calculate f(g(x)) and g(f(x)) for each pair of functions. (Note: the notation (f o g)(x) and (g o f)(x) mean the same thing, respectively.) 16. f(x) = 3x + 7; g(x) = -4x – 11 17. f(x) = -4x + 60; g(x) = --x + 15 18. f(x) = 10x – 5; g(x) =x+3 19. f(x) = -x + 4; g(x) = -x+6 20. Look back at your calculations for f(g(x)) and g(f(x)). Two of the pairs of equations are inverses of each other. Which ones do you think they are? Why? Iholn? Yisit www.rsgsupport.org
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