(a(i))[1]
Find the value of $f(-2)$.
(a(ii))[3]
Solve the equation $f(x) = 2$.
(a(iii))[2]
Two tangents, each with gradient 0, may be drawn on the graph of $y = f(x)$. Write down the equation of each tangent.
(b(i))[3]
Complete the table for $g(x) = \frac{2}{x} + 3$ when $-3.5 \leq x \leq -0.5$ and $0.5 \leq x \leq 2.5$.
(b(ii))[4]
On the grid opposite, draw the graph of $y = g(x)$.
(b(iii))[2]
Use your graph to solve the equation $f(x) = g(x)$.
(c)[2]
Find $gf(-2)$.
(d)[1]
Find $g^{-1}(5)$.