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Question Number 164546 by mathls last updated on 18/Jan/22

Commented by mathls last updated on 18/Jan/22

$$Dom\left(g\right)=?$$

Commented by mkam last updated on 18/Jan/22

$${\mathit{D}}_{\mathit{g}\left(\mathit{z}\right)}=-2<\mathit{z}<2$$

Commented by mathls last updated on 19/Jan/22

$$nofindDom\left(g\right)$$

Commented by mkam last updated on 19/Jan/22

$${\mathit{D}}_{\mathit{g}\left(\mathit{z}\right)}=\mathit{D}\mathit{o}\mathit{m}\left(\mathit{g}\right)$$

Answered by mathmax by abdo last updated on 19/Jan/22

$$\mid \mathrm{z}\mid <2\mathrm{if}\mathrm{z}\mathrm{from}\mathrm{C}\mathrm{and}-2<\mathrm{z}<2\mathrm{if}\mathrm{z}\mathrm{is}\mathrm{real}$$$$\mathrm{z}=\mathrm{x}+\mathrm{iy}\to \mid \mathrm{z}\mid <2\iff \sqrt{{\mathrm{x}}^2+{\mathrm{y}}^2}<2\Rightarrow {\mathrm{x}}^2+{\mathrm{y}}^2<4....$$

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