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Claim. Let and be OP maps.Then the composite is an OP map.Proof

A Transition to Advanced Mathematics | 7th Edition | ISBN: 9780495562023 | Authors: Douglas Smith, Maurice Eggen, Richard St. Andre ISBN: 9780495562023 335

Solution for problem 22 Chapter 6.4

A Transition to Advanced Mathematics | 7th Edition

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A Transition to Advanced Mathematics | 7th Edition | ISBN: 9780495562023 | Authors: Douglas Smith, Maurice Eggen, Richard St. Andre

A Transition to Advanced Mathematics | 7th Edition

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Problem 22

Claim. Let and be OP maps.Then the composite is an OP map.Proof.

Step-by-Step Solution:
Step 1 of 3

Math 103—Week 2 Notes—1.5­2.2 1.5: Exponential Rules: If a > 0 and b > 0… a • a = a x+y x a x­y y = a a (a ) = (a ) = axy a • b = (ab)x x a a x x = ( ) b b Exponential Growth/ Decay: kx y = y 0  exponential growth if k > 0 exponential decay if k < 0 *y is a constant 0 y = Pe  continuously compounded interest model P is initial monetary investment r is interest rate (decimal form) t is time (in units consistent with r) 1.6: One­to­one function: when each range value (y) has one distinct domain value (x)  Passes the horizontal line test Inverse Functions: ­1 Notat

Step 2 of 3

Chapter 6.4, Problem 22 is Solved
Step 3 of 3

Textbook: A Transition to Advanced Mathematics
Edition: 7
Author: Douglas Smith, Maurice Eggen, Richard St. Andre
ISBN: 9780495562023

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Claim. Let and be OP maps.Then the composite is an OP map.Proof