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What’s the domain to the function y=1/3x

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If\ is\ y=(1)/(3)x,\ then\ it's\ a\ linear\ function.\ Domain\ is\ the\ set\ of\ all\ real\ numbers.\\\\D=\mathbb{R}\\\\If\ is\ y=(1)/(3x),\ then\ domain\ is\ the\ set\ of\ all\ real\ number\ except\ 0\\\\D=\mathbb{R}-\{0\}\to x\in(-\infty,\ 0)\ \cup\ (0,\ \infty)

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