Given that a * b = \(\frac{a + b}{\text{ab}}\) + (a - b). Find the value of 3 * 2
A
-6
B
\(\frac{11}{6}\)
C
\(\frac{6}{11}\)
D
-1 \(\frac{5}{6}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Given that a * b = \(\frac{a + b}{\text{ab}}\) + (a - b)
3 * 2 = Given that a * b = \(\frac{3 + 2}{3.2}\) + (3 - 1)
= \(\frac{5}{6}\) + 1 = \(\frac{5}{6}\) + \(\frac{6}{6}\) = \(\frac{11}{6}\)
Source: Myschool Past Questions Archive (Record #74094)