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13-05-2017
Mathematics

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Add or Subtract x/x-6 + 3/x+7

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mjankiewicz mjankiewicz

13-05-2017

[tex]{\frac{x}{x-6}+\frac{3}{x+7}=\frac{x(x+7)+3(x-6)}{(x-6)(x+7)}=\frac{x^2+7x+3x-18}{(x-6)(x+7)}=\frac{x^2+10x-18}{(x-6)(x+7)}}[/tex]

domain

[tex]x\ne 6 \ , \ x\ne -7 \\\\ D: \ x \in \mathbb R - \{-7,6\}[/tex]

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