akinna2470 akinna2470
  • 17-08-2020
  • Mathematics
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if c(x)= 5/x-2 and d(x)=x+3, what is the domain of (cd)(x)

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hippopotamus
hippopotamus hippopotamus
  • 17-08-2020

Answer:

Step-by-step explanation:

cd(x) would equal c(x) multiplied by d(x) so we get [tex]\frac{5(x+3)}{x-2}\\[/tex] = [tex]\frac{5x+15}{x-2}\\[/tex].

The domain of [tex]\frac{5x+15}{x-2}[/tex] is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).

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