Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. for each of the following determine whether �

For each of the following determine whether ∗ is a binary operation on R. If so,...

80.2K

Verified Solution

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!
Become a Member

Other questions asked by students

Basic Math
1.2K views

Find the maximum and minimum distance from the origin to a point on the curve 9x^2−2xy+9y^2=8...

Chemistry
1.2K views

what is the molarity concentration of lead cation in a saturated solution of lead sulfate? Ksp(PbSO4)=...

Mechanical Engineering
1.2K views

The mass-spring-damper system has a 2 kg block is displaced by an amplitude of 50 mm...

Economics
1.2K views

Microeconomics Marginal Productivity and the Law of Diminishing Marginal Returns You have recently been hired to manage a...

Geometry
1.2K views

3 SAT Question The equation below defines a circle in the xy plane What are...

Statistics
1.2K views

Which of the following is an example of a false positive O Test results indicate...

Calculus
1.2K views

Find the complementary and supplementary angles to 12 T 12 12 Simplify your answer Type...

Algebra
1.2K views

What should an accountant do when there is no traceable connection between expenses and revenue...

Accounting
1.2K views

Question: What is a singularity in complex analysis? A) A point where a...

Accounting
1.2K views

Question 1 Cosgrove Company manufactures two products, Product K-7 and Product L-15. Product L-15 is...

Accounting
1.2K views

Laoeli Corporation purchased 12,500 shares of treasury stock at $30 per share. The stock had...

Accounting
1.2K views

Check my wor Olson Metrics Ltd. has been the dominant firm in its field. The...