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  • 21-06-2019
  • Mathematics
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What are the excluded values? m+5/mn+3m

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jdoe0001 jdoe0001
  • 21-06-2019

values that are excluded from the domain of a rational expression are values that make the denominator 0, since if that's so, the rational will be undefined.  That happens when the denominator is zero out, let's do so

[tex]\bf mn+3m=0\implies m(n+3)=0\implies \begin{cases} m=0\\ n=-3 \end{cases}[/tex]

so, if ever m = 0, the denominator will become 0 and the rational becomes undefined, and whenever n = -3, the same will happen to the rational, thus those values are excluded.

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