O GRAPHS AND FUNCTIONS Мax Determining whether two functions are inverses of each other Espa For each pair of functions fand 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.) (b) f(x) x + 4 (a) f(x) x 0 Зx ? X 1 g (x) ,x 0 Зх g (x) = x + 4 f(g(x)) f(g(x) g (f(x)) g (f(x)) Of and g Ofand g are inverses of each other are inverses of each other and g are not inverses of each other and g are not inverses of each other

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
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O GRAPHS AND FUNCTIONS
Мax
Determining whether two functions are inverses of each other
Espa
For each pair of functions fand 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.)
(b) f(x) x + 4
(a) f(x)
x 0
Зx
?
X
1
g (x)
,x 0
Зх
g (x)
= x + 4
f(g(x))
f(g(x)
g (f(x))
g (f(x))
Of and g
Ofand g
are inverses of each other
are inverses of each other
and g are not inverses of each other
and g are not inverses of each other
Transcribed Image Text:O GRAPHS AND FUNCTIONS Мax Determining whether two functions are inverses of each other Espa For each pair of functions fand 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.) (b) f(x) x + 4 (a) f(x) x 0 Зx ? X 1 g (x) ,x 0 Зх g (x) = x + 4 f(g(x)) f(g(x) g (f(x)) g (f(x)) Of and g Ofand g are inverses of each other are inverses of each other and g are not inverses of each other and g are not inverses of each other
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