For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether fand g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) x (a) f(x) 33 (b) f(x) = 2x + 5 x + 5 g(x). = -3x g(x) = 2 f(g(x)) = 0 f(g(x)) = [ g (f(x)) = g (f(x)) = Of and g are inverses of each other Of and g are not inverses of each other Of and g are inverses of each other Of and g are not inverses of each other =

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 22CR
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For each pair of functions f and g below, find f(g(x)) and g (f(x)).
Then, determine whether fand g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)
(a) f(x)
(b) f(x) = 2x + 5
x + 5
s (r)
=
2
f(g(x)) =
g (f(x)) =
Of and g are inverses of each other
Of and g are not inverses of each other
=
g(x) = -3x
f(g(x)) = [
g (f(x)) =
Of and g are inverses of each other
Of and g are not inverses of each other
Transcribed Image Text:For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether fand g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) (b) f(x) = 2x + 5 x + 5 s (r) = 2 f(g(x)) = g (f(x)) = Of and g are inverses of each other Of and g are not inverses of each other = g(x) = -3x f(g(x)) = [ g (f(x)) = Of and g are inverses of each other Of and g are not inverses of each other
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