For each of the following determine whether ∗ is a binary
operation on R. If so,...
80.2K
Verified Solution
Link Copied!
Question
Advance Math
For each of the following determine whether ∗ is a binaryoperation on R. If so, determine whether or not ∗ is associative,commutative, has an identity element, and has inverse elements.
(a) a ∗ b = (ab) / (a+b+1)
(b) a ∗ b = a + b + k where k ∈ Z
(c) a ln(b) on {x ∈ R | x > 0}
Answer & Explanation
Solved by verified expert
4.1 Ratings (670 Votes)
a No it is not a binary operation on R This is because it notwell defined for forwhich the output is not well definedb
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
