2 The functions \(f\) and \(g\) are defined with their respective domains by $$\begin{array} { l l } f ( x ) = \sqrt { 2 x + 5 } , & \text { for real values of } x , x \geqslant - 2.5
g ( x ) = \frac { 1 } { 4 x + 1 } , & \text { for real values of } x , x \neq - 0.25 \end{array}$$

1. Find the range of f.
2. The inverse of f is \(\mathrm { f } ^ { - 1 }\).
   1. Find \(\mathrm { f } ^ { - 1 } ( x )\).
   2. State the domain of \(\mathrm { f } ^ { - 1 }\).
3. The composite function fg is denoted by h .
   1. Find an expression for \(\mathrm { h } ( x )\).
   2. Solve the equation \(\mathrm { h } ( x ) = 3\).