- The functions \(f\) and \(g\) are defined by
$$\begin{array} { l l l }
\mathrm { f } ( x ) = 9 - x ^ { 2 } & x \in \mathbb { R } & x \geq 0
\mathrm {~g} ( x ) = \frac { 3 } { 2 x + 1 } & x \in \mathbb { R } & x \geq 0
\end{array}$$
- Write down the range of f
- Find the value of fg (1.5)
- Find \(\mathrm { g } ^ { - 1 } ( x )\) and state the domain of \(\mathrm { g } ^ { - 1 } ( x )\)