Question
Let $\text{f}:[0,\infty)\rightarrow\text{R}$ and $\text{g}:\text{R}\rightarrow\text{R}$ be defined by $\text{f(x)}=\sqrt{\text{x}}$ and g(x) = x. Find f + g, g - g, fg and $\frac{\text{f}}{\text{g}}$

Answer

$\text{f}+\text{g}:[0,\infty)\rightarrow\text{R}$ defined by $(\text{f}+\text{g})(\text{x})=\sqrt{\text{x}}+\text{x}$
$\text{f}-\text{g}:[0,\infty)\rightarrow\text{R}$ defined by $(\text{f}-\text{g})(\text{x})=\sqrt{\text{x}}-\text{x}$
$\text{fg}:[0,\infty)\rightarrow\text{R}$ defined by $\Big(\frac{\text{f}}{\text{g}}\Big)(\text{x})=\frac{1}{\sqrt{\text{x}}}$

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