Question

Function Operations Picture attached

Answer 1

Answer: Second option

Explanation:

You need to make the multiplication of the function
`c(x)=(5)/(x-2)` and the function
`d(x)=x+3`. Then:

`(cd)(x)=((5)/(x-2))(x+3)`

You need to apply the Distributive property:

`(cd)(x)=(5(x+3))/(x-2)\\\\(cd)(x)=(5x+15)/(x-2)`

Therefore, the domain will be all the number that make the denominator equal to zero.

Then, make the denominator equal to zero and solve for x:

`x-2=0\\x=2`

Therefore, the domain is: All real values of x except
`x=2`