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 $a$ * $b=a+4 b^2$
Here, $Z ^{+}$denotes the set of all non-negative integers.
On $R$, define * by $a$ * $b=a+4 b^2$
Here, $Z ^{+}$denotes the set of all non-negative integers.