Question
Determine whether or not the definition of * given below gives a binary operation. In the event that * is not a binary operation give justification of this.
On R, define by $a^* b=a b^2$.
Here, $Z ^{+}$denotes the set of all non-negative integers.
On R, define by $a^* b=a b^2$.
Here, $Z ^{+}$denotes the set of all non-negative integers.