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is a function such that 1 a = 1 and a b = b a for all a and b. Which ... ...

image is a function such that 1image a = 1 and a image b = b image a for all a and b. Which of the following must be true? image


(A) I only
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set C: Defined Function

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Replies to This Thread: 1 | ----
is a function such that 1 a = 1 and a b = b a for all a and b. Which ... ... 
Posted: 06/03/2014 10:22
I don't understand how "a ø b = b ø a" means that "1 ø a / 1 ø b" = "1 / 1". I know "1 ø a = 1", but how does that mean "1 ø b = 1"?
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Posted: 06/10/2014 10:51
Miranda, given that 1 ø a = 1, we can substitute any number or variable into a. This means that 1 ø x =1; 1 ø 1000 =1; and yes, 1 ø b =1.
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