Question

(02.03 MC)
Based on the graphs of f (x) and g(x), what must the domain of (f times g)(x)be?

Answer 1

The domain of f(x) · g(x) is all real numbers except x = 2.

How to determine the domain of the product of two functions

In this problem we must determine the domain of the product of two functions: f(x), g(x), that is, the set of all values such that resulting function exists. First, we determine the domain of each function:

Dom {f(x)} = All real numbers

Dom {g(x)} = All real numbers except x = 2.

Second, determine the domain of the product of the two functions: (The set of common x-elements)

Dom {f(x) · g(x)} = All real numbers except x = 2.