Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.2 One-to-One Functions; Inverse Functions - 5.2 Assess Your Understanding - Page 265: 3


All real numbers apart from $3$ and $-6$.

Work Step by Step

We know that the denominator cannot be $0$, hence we want $x^2+3x-18\ne0$. After factorizing the trinomial: $(x+6)(x-3)\ne0$. For this we need that $x+6\ne0$, $x\ne-6$ and $x-3\ne0$, $x\ne3$. Therefore the domain is the real numbers apart from $3$ and $-6$.
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