\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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A rule \(h\) is defined by \(\Fonction{h}{\mathbb{Z}}{\mathbb{R}}{x}{\sqrt{x}}\).
State the domain and codomain of \(h\).
Explain why this rule does not define a valid function.
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