4. Consider the functions k(x)= 27* and m(x) = 9 · 3ª. (a) Are k(x) and m(x) the same function? Explain. (b) Write m(x) as a composition of f(x) = 3" and another function b(x), so that m(x) = b(f(x)). Give the function b(x). %3D (c) Write k(x) as a composition of f(x) = 3ª and another function d(x), so that k(x) = d(f(x)). Give the function k(x).

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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4. Consider the functions k(x) = 27" and m(x) = 9 · 3".
(a) Are k(x) and m(x) the same function? Explain.
(b) Write m(x) as a composition of f(x) = 3ª and another function b(x), so that m(x) = b(f(x)). Give
the function b(x).
= 3" and another function d(x), so that k(x) = d(f(x)). Give
(c) Write k(x) as a composition of f(x)
the function k(x).
Transcribed Image Text:4. Consider the functions k(x) = 27" and m(x) = 9 · 3". (a) Are k(x) and m(x) the same function? Explain. (b) Write m(x) as a composition of f(x) = 3ª and another function b(x), so that m(x) = b(f(x)). Give the function b(x). = 3" and another function d(x), so that k(x) = d(f(x)). Give (c) Write k(x) as a composition of f(x) the function k(x).
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