(a(i))[1]
Find, in its simplest form, $f(x - 3)$.
(a(ii))[1]
Find, in its simplest form, $g(5x)$.
(b)[2]
Find $f^{-1}(x)$.
(c)[3]
Find the value of $h(h(1))$, correct to 4 significant figures.
(d(i))[2]
Show that $g(3x - 2) - h(-3)$ can be written as $9x^2 - 12x - 23$.
(d(ii))[4]
Use the quadratic formula to solve $9x^2 - 12x - 23 = 0$. Give your answers correct to 2 decimal places.
(e)[2]
Find $x$ when $f(6) = h(x)$.