If c(x)=5/x-2 and d(x)=x+3,. What is the domain of (CD)(x)

  all real numbers except x=2

Step-by-step explanation:

We assume you intend c(x) = 5/(x-2), rather than c(x) = (5/x) -2 as written.

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The domain of c(x) is real numbers, excluding 2. Multiplying c(x) by d(x) doesn't change that.

The domain of (cd)(x) = c(x)×d(x) = 5(x+3)/(x-2) is "all real numbers except 2".

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2 is excluded because c(x) is undefined for that value.