Question

Which of the following would not be a possible function for f (x) and g(x) such that

(f x g)(x)=8/x^2 +4

Answer 1

One possible value for f(x) and g(x) that would not satisfy the given function composition (f x g)(x)=8/x² +4 can be f(x) = 2 and g(x) = 4/x² .

Step-by-step explanation:

The given expression is (f x g)(x)=8/x² +4. Based on the expression, we can determine that the operation being performed is function composition, represented by the symbol ∘.

Let's assume that f(x) and g(x) are two separate functions. In order for the function composition to yield the result specified, there are certain conditions that need to be met. One possible value for f(x) and g(x) that would not satisfy the given expression is if f(x) is defined as the constant function 2 and g(x) is defined as the function 4/x².