Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 14 - Review - Exercises - Page 982: 1


${(x,y)∈R^{2}|y\gt -x-1}$

Work Step by Step

Given: $f(x,y)=ln(x+y+1)$ Since we can only take the logarithmic of positive quantities, we want $x+y+1\gt0$ This implies $y\gt -x-1$ Therefore, the domain for given function is ${(x,y)∈R^{2}|y\gt -x-1}$ Sketch the graph for the domain as shown below:
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