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Question Number 141586 by otchereabdullai@gmail.com last updated on 20/May/21

$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{x}\mathrm{for}\mathrm{which}\mathrm{the}\mathrm{following}$$$$\mathrm{functions}\mathrm{are}\mathrm{undefined}$$$$\left(1\right)\mathrm{g}:\mathrm{x}\to \frac{5\mathrm{x}+1}{2}$$$$\left(2\right)\mathrm{f}:\mathrm{x}\to {3\mathrm{x}}^2-5\mathrm{x}+1$$

Answered by physicstutes last updated on 20/May/21

$$\mathrm{Afunction}f\mathrm{is}\mathrm{said}\mathrm{to}\mathrm{be}\mathrm{defined}\mathrm{in}\mathrm{its}\mathrm{domain}.$$$$\mathrm{so}\mathrm{the}\mathrm{value}\left(\mathrm{s}\right)\mathrm{of}x\mathrm{that}\mathrm{make}\mathrm{the}\mathrm{functions}\mathrm{undefined}$$$$\mathrm{is}/\mathrm{are}\mathrm{what}\mathrm{the}\mathrm{question}\mathrm{is}\mathrm{asking}\mathrm{for}.$$$$\left(1\right)\mathrm{Dom}\mathrm{g}=\mathbb{R}\left(\mathrm{so}\mathrm{no}\mathrm{value}\mathrm{for}x\mathrm{makes}\mathrm{g}\mathrm{undefined}\right)$$$$\left(2\right)\mathrm{Dom}f=\mathbb{R}\left(\mathrm{a}\mathrm{polynomial}\right)$$

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