Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 1 - Speaking Mathematically - Exercise Set 1.3 - Page 22: 20

Answer

$K(x)=(x-1)(x-3)+1=[x^{2}-4x+3]+1=x^{2}-4x+4=(x-2)^{2}=H(x)$ Yes, the functions $H$ and $K$ are equivalent.

Work Step by Step

The steps involved are entirely FOILing (un-factoring) and factoring.
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