4. The curve \(C\) is defined by the parametric equations
$$x = \frac { 1 } { t } + 2 \quad y = \frac { 1 - 2 t } { 3 + t } \quad t > 0$$
- Show that the equation of \(C\) can be written in the form \(y = \mathrm { g } ( x )\) where g is the function
$$\mathrm { g } ( x ) = \frac { a x + b } { c x + d } \quad x > k$$
where \(a , b , c , d\) and \(k\) are integers to be found.
- Hence, or otherwise, state the range of g .
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