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A binary operation ⊕ on real numbers is defined by x⊕y = xy + x…

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 (-³/₄)⊕6 is

A.³/₄
B.
–⁹/₂
C.⁴⁵/₄
D.
–³/₄

Correct Answer: Option A

Explanation

x⊕y = xy + x + y
= –³/₄ (6) + (-³/₄) + 6
= –⁹/₂ – ³/₄ + 6
= (-18-3+3+24) / 4
= ³/₄