Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.2 - Functions - 2.2 Exercises - Page 183: 56



Work Step by Step

We are given the function: $f(x)=\dfrac{x+2}{\sqrt{x-10}}$ There are two conditions we must set: 1) the radical must make sense 2) the denominator is not zero For the first condition to be met we solve: $x-10\geq 0$ $x\geq 10$ For the second condition to be met we solve: $\sqrt{x-10}\not=0$ $x-10\not=0$ $x\not=0$ Therefore using both conditions we get the domain of $f$: $x\gt 10$ $(10,\infty)$
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