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 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) = 2x - 7 (b) f(x) = 6x x+7 8 (x) = 2 g (x) = 6x S8 (*)) = | se (+)) = g/(x)) = | 8(4)) = 0 %3D Of and g are inverses of each other Of and g are inverses of each other J and g are not inverses of each other O/ 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
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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 g(f(x)).
Then, determine whether fand g are inverses of each other.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)
Simplify your answers as much as possible.
(a) f(x) = 2x - 7
(b) f(x) = 6x
8(x) =
*+7
g (x) = 6x
s(8 (x)) = |
ss (*)) = ]
8 (*)) = ]
86(4)) =
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
O f 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 g(f(x)). Then, determine whether fand g are inverses of each other. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) Simplify your answers as much as possible. (a) f(x) = 2x - 7 (b) f(x) = 6x 8(x) = *+7 g (x) = 6x s(8 (x)) = | ss (*)) = ] 8 (*)) = ] 86(4)) = 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 O f and g are not inverses of each other Explanation Check 2021 McGraw Hill LLC. AI MacBook Air esc F4 FS F7 @ # 2$ % & 2 3 4 5 8 Q E R Y A S D F G H III
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