Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 6 - Analytic Trigonometry - Section 6.1 The Inverse Sine, Cosine, and Tangent Functions - 6.1 Assess Your Understanding - Page 473: 2

Answer

$x\le1$ or $x\ge1$.

Work Step by Step

For $f(x)=(x-1)^2$, we can find a symmetry line $x=1$ to split the curve into two halves, either half can be used as a one-to-one function. Thus the domain restriction would be $x\le1$ or $x\ge1$.
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