Consider the functions f(x) = x² and g(x)=√x. (a) Find f/g and its domain. (+)(x) = Domain: Ox≤0 O x < 0 O x > 0 Ox≥ 0 (b) Find fog and go f. fog gof= Find the domain of each composite function. Domain for fog: Ox≤ 0 Ox<0 O x > 0 Οx > 0 O all real numbers x Domain for go f: O all real numbers x O x > 0 O x < 0 x ≤ 0 Ox≥ 0 Are they the same? O Yes No
Consider the functions f(x) = x² and g(x)=√x. (a) Find f/g and its domain. (+)(x) = Domain: Ox≤0 O x < 0 O x > 0 Ox≥ 0 (b) Find fog and go f. fog gof= Find the domain of each composite function. Domain for fog: Ox≤ 0 Ox<0 O x > 0 Οx > 0 O all real numbers x Domain for go f: O all real numbers x O x > 0 O x < 0 x ≤ 0 Ox≥ 0 Are they the same? O Yes No
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...
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Question
Transcribed Image Text:Consider the functions f(x) = x² and g(x)=√x.
(a) Find f/g and its domain.
(+)(x) =
Domain:
Ox≤0
O x < 0
O x > 0
Ox≥ 0
(b) Find fog and go f.
fog
gof=
Find the domain of each composite function.
Domain for fog:
Ox≤ 0
Ox<0
O x > 0
Οx > 0
O all real numbers x
Domain for go f:
O all real numbers x
O x > 0
O x < 0
x ≤ 0
Ox≥ 0
Are they the same?
O Yes
No
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