(a(i))[2]
Find $x$ for which $f(x)=-5$.
(a(ii))[2]
Find the inverse function $f^{-1}(x)$.
(b(i))[3]
Write $g(x)$ as $b-(a+x)^2$.
(b(ii))[3]
Sketch the graph of $y=g(x)$. On the sketch, include the coordinates of the turning point.
(b(iii))[6]
Find the equation of the tangent line to the graph of $y=18-3x-x^2$ at $x=4$. Give your answer in the form $y=mx+c$.