Answer
Whole xy plane.
Work Step by Step
Since $ f(x,y)=12x-5y $ is a polynomial, then it is defined for all values of $ x $ and $ y $. So the domain of $ f $ is the whole xy-plane.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 15 - Differentiation in Several Variables - 15.1 Functions of Two or More Variables - Exercises - Page 763: 5
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