The graph of the quadratic function f(x) = c +bx − x^2 intersects the -axis at point A(−1, 0) and has its vertex at point B(3, 16) Write down the equation of the axis of symmetry for this graph.

Find the value of b.

i) Write down the range of (x).
ii) g(x) is the function f(x) on the restricted domain x < 3. Find g-1(x), stating the domain
and range of this function.