100 For each pair of functions fand g below, find f(g(x)) and g (ƒ(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.) 1 (a) f(x) = , X = 0 6.x (b) f(x) = x + 4 1 8(x) = =+ , X = 0 g(x) = x + 4 6x f(g(x)) = [] f(g(x)) = [ g (f(x)) = D g (f(x)) = [ 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 Example Previous a Type here to search O 99+ hp 00 X 0 ㅁㅁ Ś G g 10 ? Ⓒ2022 McGraw Hill LLC. All Ri ?
100 For each pair of functions fand g below, find f(g(x)) and g (ƒ(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.) 1 (a) f(x) = , X = 0 6.x (b) f(x) = x + 4 1 8(x) = =+ , X = 0 g(x) = x + 4 6x f(g(x)) = [] f(g(x)) = [ g (f(x)) = D g (f(x)) = [ 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 Example Previous a Type here to search O 99+ hp 00 X 0 ㅁㅁ Ś G g 10 ? Ⓒ2022 McGraw Hill LLC. All Ri ?
Chapter3: Functions
Section: Chapter Questions
Problem 72RE: For the following exercise, find a domain on which the function f is one-to-one and non-decreasing....
Related questions
Question
![100
For each pair of functions fand g below, find f(g(x)) and g (ƒ(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.)
1
(a) f(x) =
, X = 0
6.x
(b) f(x) = x + 4
1
8(x) = =+
, X = 0
g(x) = x + 4
6x
f(g(x)) = []
f(g(x)) = [
g (f(x)) = D
g (f(x)) = [
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
Example
Previous
a
Type here to search
O
99+
hp
00
X
0
ㅁㅁ
Ś
G
g
10
?
Ⓒ2022 McGraw Hill LLC. All Ri
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a47fda9-061f-451e-94e6-6988f38e6732%2F119cce03-ea0b-48ac-b75d-a1f19dfb57b5%2Fdq269dg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:100
For each pair of functions fand g below, find f(g(x)) and g (ƒ(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.)
1
(a) f(x) =
, X = 0
6.x
(b) f(x) = x + 4
1
8(x) = =+
, X = 0
g(x) = x + 4
6x
f(g(x)) = []
f(g(x)) = [
g (f(x)) = D
g (f(x)) = [
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
Example
Previous
a
Type here to search
O
99+
hp
00
X
0
ㅁㅁ
Ś
G
g
10
?
Ⓒ2022 McGraw Hill LLC. All Ri
?
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