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 $\oplus$ - $\frac{2}{3}$ .

- $\frac{1}{2}$

$\frac{1}{3}$

-1

Correct answer is B

N + Y = XY + X + Y

3 + - $\frac{2}{3}$ = 3(- $\frac{2}{3}$ ) + 3 + (- $\frac{2}{3}$ )

= -2 + 3 - $\frac{2}{3}$

= $\frac{1 - 2}{1 - 3}$

= $\frac{1}{3}$

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