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The operation "" is defined on the set G=((x,y) ER?Lx#0} by ( ) = (x 2+y,) for all (x,y). (x,y,) E G. Which of the following statements is true about the operation "* O a. The operation "" obeys the law of the identity, and the identity is e = (1,0): Ob. All the choices in this list are false. O. The operation "" does not obey the law of the identity. Od. The operation obeys the law of the identity, and the identity is e = (0,0) O e. The operation "*" obeys the law of the identity, and the identity is e = (1,1).

The operation "" is defined on the set G=((x,y) ER?Lx#0} by ( ) = (x 2+y,) for all (x,y). (x,y,) E G. Which of the following statements is true about the operation "* O a. The operation "" obeys the law of the identity, and the identity is e = (1,0): Ob. All the choices in this list are false. O. The operation "" does not obey the law of the identity. Od. The operation obeys the law of the identity, and the identity is e = (0,0) O e. The operation "*" obeys the law of the identity, and the identity is e = (1,1).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Question 14 The operation "" is defined on the set G={(x,y) ER?Lx 0} by ( 2 = (x 2+y,) for all (x,y,).(x,.y,) E G. Which of the following statements is true about the operation "*" on G? %3D The operation obeys the law of the identity, and the identity is e = (1,0)- a. O b. All the choices in this list are false. Oc. The operation does not obey the law of the identity. d. The operation obeys the law of the identity, and the identity ise = (0,0) IS e. The operation obeys the law of the identity, and the identity is e= (1,1)
Transcribed Image Text:Question 14 The operation "" is defined on the set G={(x,y) ER?Lx 0} by ( 2 = (x 2+y,) for all (x,y,).(x,.y,) E G. Which of the following statements is true about the operation "*" on G? %3D The operation obeys the law of the identity, and the identity is e = (1,0)- a. O b. All the choices in this list are false. Oc. The operation does not obey the law of the identity. d. The operation obeys the law of the identity, and the identity ise = (0,0) IS e. The operation obeys the law of the identity, and the identity is e= (1,1)
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