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

Solution:

It is given that

c(x) = 5/ x - 2

d(x) = x + 3

We should find the domain of (cd) (x)

The product of two is

(cd) (x) = c(x) . d(x)

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

The function above is defined at all real numbers values except 2 because it would make the denominator zero.

Therefore, the domain of (cd) (x) is all real numbers values except 2.

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

Summary:

If c(x) = 5/x - 2 and d(x) = x + 3, the domain of (cd) (x) is all real numbers values except 2.