A binary operation * is defined by a*b = ab+a+b for any r...
A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.
2/3
1/2
-1/2
-2/3
Correct answer is D
a∗a−1=aa−1+a+a−1=e
if e = 0
2.2−1+2+2−1=0
collecting like terms, we have:
3.2−1+2=0
= 2−1 = -23