Question

What is the domain of (cd)(x)?

Answer 1

`C(x) = (5)/(x-2)`

d(x) = x+3

(cd)(x) = c(x) * d(x)

Replace c(x) and d(x) in the above expression

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

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

Domain are the x values where function is defined

When denominator becomes 0 then function becomes undefined

To find domain we set the denominator =0 and solve for x

x - 2=0

x= 2

x=2 make the denominator 0. Hence, domain is set of all real numbers except 2

Answer : all real values of x except 2