6. In this question you must show detailed reasoning.
The functions f and g are defined for all real values of \(x\) by
$$f ( x ) = x ^ { 3 } \text { and } g ( x ) = x ^ { 2 } + 2$$
- Write down expressions for
- \(\mathrm { fg } ( x )\),
- \(\mathrm { gf } ( x )\).
- Hence find the values of \(x\) for which \(\mathrm { fg } ( x ) - \mathrm { gf } ( x ) = 24\).
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