Question on: JAMB Mathematics - 2007

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
\(\frac{3}{4}\)
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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})

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