Given that \(P = {x : \text{x is a factor of 6}}\) is the domain of \(g(x) = x^{2} + 3x - 5\), find the range of x.
The third of geometric progression (G.P) is 10 and the sixth term is 80. Find the common ratio.
Find the axis of symmetry of the curve \(y = x^{2} - 4x - 12\).
Find the equation of the tangent to the curve \(y = 4x^{2} - 12x + 7\) at point (2, -1).
The mean age of 15 pupils in a class is 14.2 years. One new pupil joined the class and the mean changed to 14.1 years. Calculate the age of the new pupil.
