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 4 - Exponential and Logarithmic Functions - Chapter Review - Review Exercises - Page 370: 18

Answer

$\{x|x\lt1\ or\ x\gt2 \}$.

Work Step by Step

The domain requirement for this function is $x^2-3x+2\gt0 \Longrightarrow (x-1)(x-2)\gt0$ with boundary points $x=1,2$. The "$\gt$" sign indicates that the solution will be outside the region between the boundary points, thus we have $\{x|x\lt1\ or\ x\gt2 \}$.
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