A binary operation ⊕ ⊕ on real numbers is defined by x ⊕ ⊕ y = xy + x + y for any two real numbers x and y. The value of (-34 3 4 ) ⊕ ⊕ 6 is

A binary operation $\oplus$ on real numbers is defined by x $\oplus$ y = xy + x + y for any two real numbers x and y. The value of (-$\frac{3}{4}$) $\oplus$ 6 is

Answer Details

x $\oplus$ y = xy + x + y
(-$\frac{3}{4}$) $\oplus$ 6 = -$\frac{3}{4.6}$ - $\frac{3}{4}$ + 6
= -$\frac{9}{2}$ - $\frac{3}{4}$ + 6
= -$\frac{3}{4}$