11 The function f is defined by
$$f ( x ) = 4 x ^ { 3 } - 8 x ^ { 2 } - 51 x - 45 \quad ( x \in \mathbb { R } )$$
11
- Fully factorise \(\mathrm { f } ( x )\)
11
- (ii) Hence, solve the inequality \(\mathrm { f } ( x ) < 0\)
11 - The graph of \(y = \mathrm { f } ( x )\) is translated by the vector \(\left[ \begin{array} { l } 7
0 \end{array} \right]\)
The new graph is then reflected in the \(x\)-axis, to give the graph of \(y = \mathrm { g } ( x )\)
Solve the inequality \(\mathrm { g } ( x ) \leq 0\)