Simplify \(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}}\)
Find the range of values of x for which \(2x^{2} + 7x - 15 > 0\).
A function f is defined on R, the set of real numbers, by: \(f : x \to \frac{x + 3}{x - 2}, x \neq 2\), find \(f^{-1}\).
The sum of the first n terms of a linear sequence is \(S_{n} = n^{2} + 2n\). Find the common difference of the sequence.
The sum of the first n terms of a linear sequence is \(S_{n} = n^{2} + 2n\). Determine the general term of the sequence.
