Let f(x) = cos x and g(x)=√x, where 0 < x≤ 2. Let S be the composition of g with f, S(x) = g(f(x)). What is the domain of S?

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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2.
Let f(x) = cos x and g(x)=√√x, where
0< x≤ 2. Let S be the composition
of g with f, S(x) = g(f(x)). What is the
domain of S?
A. 0<x< 2π
B. 0<x<T
Alp
g(x)
y = √ cos x
C.
1/2<x< ³/7
D. 0< x≤ and T ≤ x ≤ 2π
Transcribed Image Text:2. Let f(x) = cos x and g(x)=√√x, where 0< x≤ 2. Let S be the composition of g with f, S(x) = g(f(x)). What is the domain of S? A. 0<x< 2π B. 0<x<T Alp g(x) y = √ cos x C. 1/2<x< ³/7 D. 0< x≤ and T ≤ x ≤ 2π
Expert Solution
Step 1: We have given two functions

f(x)=cosx and g(x)=xwhere 0x2π.

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