Question

If mc005-1.jpg and d(x) = x + 3, what is the domain of (cd)(x)?

Answer 1

Thank you for asking this question. Here is your answer:

In order to solve this we will take this equation:

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

And the denominator of this function cannot be zero

So it would be:

x - 2 = 0

x = 2

So the final answer for this question is that the domain is set of all the real numbers and x is not equal to 2.

If there is any confusion please leave a comment below.