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 (\(-\frac{3}{4}\))⊕6 is

  • A 3/4
  • B -9/2
  • C 45/4
  • D -3/4
jamb 2007mathematics

The correct answer is A. 3/4

The binary operation ⊕ is defined by x⊕y = xy + x + y for any two real numbers x and y. To find the value of (-3/4)⊕6, we can substitute x = -3/4 and y = 6 into the definition of the operation:

(-3/4)⊕6 = (-3/4)(6) + (-3/4) + 6

= -9/2 - 3/4 + 24/4

= -18/4 - 3/4 + 24/4

= 3/4

So, the value of (-3/4)⊕6 is 3/4

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