<p>The function $\mathrm{f}$ is defined by $\mathrm{f}:x\mapsto \frac{{{x}^{2}}+4}{x}$ , $x\in \mathbb{R}$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Give a reason why $\mathrm{f}$ does not have an inverse.</div><p style="text-align: right;">[1]</p></li><li><div class="list-item-paragraph">The domain is now restricted to $0 < x\le 2$. Find ${{\mathrm{f}}^{-1}}\left( x \right)$ and state its domain, showing your working clearly.</div><p style="text-align: right;">[4]</p></li></ol>

The function $\mathrm{f}$ is defined by $\mathrm{f}:x\mapsto \frac{{{x}^{2}}+4}{x}$ , $x\in \mathbb{R}$.

Give a reason why $\mathrm{f}$ does not have an inverse.

The domain is now restricted to $0 < x\le 2$. Find ${{\mathrm{f}}^{-1}}\left( x \right)$ and state its domain, showing your working clearly.

2022 DHS Promo Q3

2022 DHS Promo Q3

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