5 The functions \(f\) and \(g\) are defined with their respective domains by
$$\begin{array} { l l }
\mathrm { f } ( x ) = 2 - x ^ { 4 } & \text { for all real values of } x
\mathrm {~g} ( x ) = \frac { 1 } { x - 4 } & \text { for real values of } x , x \neq 4
\end{array}$$
- State the range of f .
- Explain why the function f does not have an inverse.
- Write down an expression for fg(x).
- Solve the equation \(\operatorname { fg } ( x ) = - 14\).