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.) (a) f(x) = (b) f(x) = x – 4 %3D 8(+) = g (x) = -x – 4 %3D - sle (:)) = | F(3 (x)) = ] %3D g(+)) = 0 g(f(x)) = [ %3D 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 69

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 46SE: The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of...
Question
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.)
6.
(a) f(x):
(b) f(x) = x – 4
, X # 0
e(:) = .
g (x) = -x – 4
s(e (x)) = |
s(g (x)) = [
g((«)) = |
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
Explanation
Check
Tch
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.) 6. (a) f(x): (b) f(x) = x – 4 , X # 0 e(:) = . g (x) = -x – 4 s(e (x)) = | s(g (x)) = [ g((«)) = | 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 Explanation Check Tch
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