- The function \(f\) is given by
$$\mathrm { f } : x \propto \frac { x } { x ^ { 2 } - 1 } - \frac { 1 } { x + 1 } , x > 1$$
- Show that \(\mathrm { f } ( x ) = \frac { 1 } { ( x - 1 ) ( x + 1 ) }\).
- Find the range of f.
The function \(g\) is given by
$$\mathrm { g } : x \propto \frac { 2 } { x } , x > 0$$
- Solve \(\operatorname { gf } ( x ) = 70\).