Question

If c (x) = 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?

Answer 1

Answer:

Step-by-step explanation:

1. The value of (cd)(x) is equal to the product of c(x) and d(x) which is equal to,

                                        5(x + 3) / (x - 2)

The function can take all real numbers except 2 because that would make the denominator 0.

2. To answer, substitute first 5 to the given functions,

                     f(x) = 7 + 4x = 7 + 4(5) = 27

                     g(x) = 1/2x = 1 / (2)(5) = 1/10

Dividing 27 by 1/10 is 270.