Answer
FALSE.
Work Step by Step
Take $$f(x,y)=5xy$$,
$$f(2,3)=f(3,2)=30$$,
But, $$2 \neq 3, 3 \neq 2$$.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 13 - Functions of Several Variables - 13.1 Exercises - Page 879: 87
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