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

Find the value of x for which the following functions are undefined (1) g:x→((5x+1)/2) (2) f:x→3x^2 −5x+1

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

Answered by physicstutes last updated on 20/May/21

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

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

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