Question on: JAMB Mathematics - 1999
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
2/3
B
1/2
C
-1/2
D
-2/3
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Correct Option: A
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 = -\(\frac{2}{3}\)
if e = 0
2.2-1 + 2 + 2-1 = 0
3.2-1 + 2 = 0
= 2-1 = -\(\frac{2}{3}\)
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