6 The function f is defined by
$$\mathrm { f } ( x ) = \frac { 1 } { 2 } \left( x ^ { 2 } + 1 \right) , x \geq 0$$
6
- Find the range of f .
6
- Find \(\mathrm { f } ^ { - 1 } ( x )\)
6
- (ii) State the range of \(\mathrm { f } ^ { - 1 } ( x )\)
6 - State the transformation which maps the graph of \(y = \mathrm { f } ( x )\) onto the graph of \(y = \mathrm { f } ^ { - 1 } ( x )\)
6
- Find the coordinates of the point of intersection of the graphs of \(y = \mathrm { f } ( x )\) and \(y = \mathrm { f } ^ { - 1 } ( x )\)