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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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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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