order to express the function y=(2t^4−8)^5 as a composition of two functions the outer of which is a power function, we would let uu be equal to the inner function, u=u= and then write yy as a function of uu, as follows: y=y=

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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(a) In order to express the function y=(2t^4−8)^5 as a composition of two functions the outer of which is a power function,
we would let uu be equal to the inner function, u=u=
and then write yy as a function of uu, as follows: y=y=


(b) In order to express the function P=11e^−0.6t as a composition of two functions the outer of which is an exponential function,
we would let uu be equal to the inner function, u=u=
and then write PP as a function of uu, as follows: P=P=


(c) In order to express the function C=18ln(q^2+8) as a composition of two functions the outer of which is a logarithmic function,
we would let uu be equal to the inner function, u=u=
and then write CC as a function of uu, as follows: C=C=

 
 
 
 
 
 

 

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