Let f(x) = x² + x - 6 and g(x) = 3x - 6, what are f ⋅ g and f/g. state the resulting function and it's domain.

Domain of (f.g)(x) = All real numbers  

Domain of (f/g)(x) = All Real Numbers

Step-by-step explanation:

Given functions are:

We have to calculate f.g and f/g

In order to find f.g we have to multiply both functions

The domain of (f.g)(x) is all real numbers

Now

The domain of (f/g)(x) is all real numbers.

Hence,

Domain of (f.g)(x) = All real numbers  

Domain of (f/g)(x) = All Real Numbers