O GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions f and g below, find f(g (x)) and g(f(x)). Then, determine whether f and 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.) () Se) = x - 6 (b) f(2) : !! g(x) = x + 6 z(-) = , x + 0 se()) = I g/()) = D Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other

College Algebra
7th Edition
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
Determining whether two functions are inverses of each other
For each pair of functions fand g below, find f(g (x)) and gf(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
You do not have to indicate the domain.)
the domain of the composition.
(a) f(x) = x - 6
2
(b) f(x) = -= , x + 0
8 (x) = x + 6
2
g (x) = =, x + 0
s8 (x)) = O
g (x)) = ]
Of and g are inverses of each other
Oj and g are inverses of each other
Of and g are not inverses of each other
Of and g are not inverses of each other
Explanation
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Transcribed Image Text:O GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions fand g below, find f(g (x)) and gf(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 You do not have to indicate the domain.) the domain of the composition. (a) f(x) = x - 6 2 (b) f(x) = -= , x + 0 8 (x) = x + 6 2 g (x) = =, x + 0 s8 (x)) = O g (x)) = ] Of and g are inverses of each other Oj and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other Explanation Check 2021 McGraw Hill LLC AR Reserved MacBook Air esc 888 44 E7 FS %23 3 & * 4. 5 8 tab Q W R caps lock F G K C V alt control option command II
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