- The function f is defined by
$$\mathrm { f } ( x ) = 2 x ^ { 2 } - 5 \quad x \geqslant 0 \quad x \in \mathbb { R }$$
- State the range of f
On the following page there is a diagram, labelled Diagram 1, which shows a sketch of the curve with equation \(y = \mathrm { f } ( x )\).
- On Diagram 1, sketch the curve with equation \(y = \mathrm { f } ^ { - 1 } ( x )\).
The curve with equation \(y = \mathrm { f } ( x )\) meets the curve with equation \(y = \mathrm { f } ^ { - 1 } ( x )\) at the point \(P\)
Using algebra and showing your working,
- find the exact \(x\) coordinate of \(P\)
\includegraphics[max width=\textwidth, alt={}]{bef290fb-fbac-4c9c-981e-5e323ac7182e-09_607_610_248_731}
\section*{Diagram 1}