Question

If mc005-1.jpg 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

all real values of x except x = 2

Explanation:

look at the picture down below

Answer 2

Given Function:
C(x) = 5/(x-2)
and
d(x) = x + 3

The domain of (cd)(x) can be calculated as:

(cd)(x) = 5/(x-2) × x + 3 = 5(x + 3)/(x-2)
The denominator of the function (cd)(x) can not be equal to zero because it would make it undefined.
Therefore,
x - 2 = 0
and x = 2 will be excluded.
Hence,
The domain is set of all the real numbers and x ≠ 2