A binary operation * is defined on the set R of real numbers by a*b = \(\frac{\text{ab}}{4}\), find the value of \(\sqrt{2}\) * \(\sqrt{6}\)
Two functions f and g are defined by f:x → 3x - 1, g: x → 2x\(^3\), find fg(- 2).
Given that \(\frac{1}{8^{2-3y}}\) = 2\(^{y + 2}\), find y.
Given that (\(\sqrt{3}\) - 5\(\sqrt{2}\))(\(\sqrt{3}\) + \(\sqrt{2}\)) = p + q\(\sqrt{6}\). Find q
If f(x) = \(\frac{1}{2 - x}\), x \(\neq\) 2. Find f\(^{-1}\)(\(\frac{-1}{2}\))
