A binary operation oplus on real numbers is def... - JAMB Mathematics 2007 Question
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
A
-\(\frac{3}{4}\)
B
\(\frac{45}{4}\)
C
-\(\frac{4}{3}\)
D
\(\frac{3}{4}\)
correct option: d
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
= -\(\frac{3}{4}\)
(-\(\frac{3}{4}\)) \(\oplus\) 6 = -\(\frac{3}{4.6}\) - \(\frac{3}{4}\) + 6
= -\(\frac{9}{2}\) - \(\frac{3}{4}\) + 6
= -\(\frac{3}{4}\)
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