Question

If ( look at the picture ) and d(x) = x + 3, what is the domain of (cd)(x)?

-all real values of x
-all real values of x except x = 2
-all real values of x except x = –3
-all real values of x except x = 2 and x = –3

Answer 1

the answer is b

Explanation:

trust i just took the test

Answer 2

Answer: Hi!

so you have
`c(x) =(5)/(2 - x)` and
`d(x) = x + 3`

The first thing you can notice is that the domain of c is all reals minus the number 2 (because the denominator is 0), and the domain of d is al the reals.

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

Again the only problem here is when x = 2, because the denominator is zero in that case, then the domain of (cd)(x) is al real values except x = 2, which is the second option