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CSS Pure Mathematics QUESTION #4110
Question 1
For the group $(\mathbb{Q}^+, *)$ where $a * b = \frac{ab}{2}$, what is the inverse of element $4$?
  • $\frac{1}{4}$
  • $\frac{1}{2}$
  • $1$✔️
  • $2$
Correct Answer Explanation
If $a * b = e = 2$, then $\frac{4b}{2} = 2$, so $2b = 2$, thus $b = 1$.