Two functions fand g are defined in the figure below. (a) ∞ Domain of f (b) Range of f 7 9 Domain of g Find the domain and range of the composition gof. Write your answers in set no Domain of g of: O Range of g of: (0) 19 X Range of g 5 ?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Two functions fand g are defined in the figure below.
(a)
0000
7
Range of f
(b)
Domain of f
9
Domain of g
Find the domain and range of the composition gof. Write your answers in set nota
Domain of g of: O
Range of g of:
Range of g
X
0.0....
S
?
Transcribed Image Text:Two functions fand g are defined in the figure below. (a) 0000 7 Range of f (b) Domain of f 9 Domain of g Find the domain and range of the composition gof. Write your answers in set nota Domain of g of: O Range of g of: Range of g X 0.0.... S ?
Suppose H (x)=√4x²+8.
Find two functions fand g such that (fog)(x) = H (x).
Neither function can be the identity function.
(There may be more than one correct answer.)
ƒ(x) =
8 (3) - D
8 0⁰ 0101
90 9/0
X
5 ?
Transcribed Image Text:Suppose H (x)=√4x²+8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be the identity function. (There may be more than one correct answer.) ƒ(x) = 8 (3) - D 8 0⁰ 0101 90 9/0 X 5 ?
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