Home » A binary operation (oplus) om real numbers is defined by x (oplus) y = xy…

A binary operation (oplus) om real numbers is defined by x (oplus) y = xy…

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})

Related:  If (y = x(x^4 + x + 1)), evaluate (int limits_{0} ^{1} y mathrm d x).