Question 18
The functions f and g are defined by
$\mathrm{f}(x) = \sqrt{x}$ for $x \geqslant 0$,
$\mathrm{g}(x) = 3\sqrt{x + 2} - 5$ for $x \geqslant -2$.
The diagram shows the graph of $y = \mathrm{g}(x)$.
**(b)** On the diagram sketch the graph of $y = \mathrm{g}^{-1}(x)$ together with any relevant mirror line.
$\mathrm{f}(x) = \sqrt{x}$ for $x \geqslant 0$,
$\mathrm{g}(x) = 3\sqrt{x + 2} - 5$ for $x \geqslant -2$.
The diagram shows the graph of $y = \mathrm{g}(x)$.
**(b)** On the diagram sketch the graph of $y = \mathrm{g}^{-1}(x)$ together with any relevant mirror line.
