Question 34
Binary OperationsAn operation * defined on the set of positive real numbers is given by x * y = yx/7, find the inverse of x.
- A.49/x
- B.−49/x
- C.−x/49
- D.x/49
Show the answer and explanation
Answer: A (49/x)
Explanation
Identity: x * e = xe/7 = x gives e = 7. Inverse: x × x⁻¹/7 = 7, so x⁻¹ = 49/x.