A binary operation (oplus) om real numbers is defined by x (oplus) y = xy + x + y for two real numbers x and y. Find the value of 3 (oplus) – (frac{2}{3}).
-
A.
– (frac{1}{2}) -
B.
(frac{1}{3}) -
C.
-1 -
D.
2
Correct Answer: Option B
Explanation
N + Y = XY + X + Y
3 + -(frac{2}{3}) = 3(- (frac{2}{3})) + 3 + (- (frac{2}{3}))
= -2 + 3 -(frac{2}{3})
= (frac{1 – 2}{1 – 3})
= (frac{1}{3})