Given that X : R \(\to\) R is defined by x = \(\frac{y + 1}{5 - y}\) , y \(\in\) R, find the domain of x.
Simplify; \(\frac{\sqrt{5} + 3}{4 - \sqrt{10}}\)
If \(\frac{6x + k}{2x^2 + 7x - 15}\) = \(\frac{4}{x + 5} - \frac{2}{2x - 3}\). Find the value of k.
Differentiate \(\frac{x}{x + 1}\) with respect to x.
Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y).