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.

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.

Answer Details

a*a-1 = aa-1 + a + a-1 = e

if e = 0

2.2-1 + 2 + 2-1 = 0

3.2-1 + 2 = 0

= 2-1 = -$\frac{2}{3}$