Question

If c(x)=5/x-2 and d(x)=x+3 what is the domain of (cd)(x)?

Answer 1

Answer: The answer would be B

Explanation:

Answer 2

`c(x)=(5)/(x-2)\\the\ domain:\\D_c:x-2\\eq0\to x\\eq2\\\\d(x)=x+3\\the\ domain:\\D_d:x\in\mathbb{R}\\\\(cd)(x)=(5)/(x-2)\cdot(x+3)=(5(x+3))/(x-2)\\the\ domain:\\D_(cd):x\\eq2`