7 The functions f and g are defined by
$$\begin{aligned}
& \mathrm { f } ( x ) = \sqrt { 10 - 2 x } \text { for } \quad x \leq 5
& \mathrm {~g} ( x ) = \frac { 1 } { x } \quad \text { for } \quad x \neq 0
\end{aligned}$$
The function \(h\) has maximum possible domain and is defined by
$$\mathrm { h } ( x ) = \operatorname { gf } ( x )$$
7
- Find an expression for \(\mathrm { h } ( x )\)
7 - Find the domain of h
7 - Show that \(\mathrm { h } ^ { - 1 } ( x ) = 5 - \frac { 1 } { 2 x ^ { 2 } }\)
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