Question

F(x) = 12x-3 and g(x) =1/3
Find (f x g)(x)

Answer 1

To find the composition (f x g)(x) for functions f(x) = 12x - 3 and g(x) = 1/3, we substitute g(x) into f(x). This yields a simplified expression f(g(x)) = 1.

Step-by-step explanation:

The student's question is regarding the composition of two functions, f(x) and g(x), where f(x) = 12x - 3 and g(x) = 1/3. Composition of functions involves applying one function to the results of another.

To find the composition (f x g)(x), we replace every occurrence of x in f(x) with g(x). The correct expression for the composition will be:

f(g(x)) = f(1/3) = 12(1/3) - 3

Now, simplify the expression:

f(g(x)) = 4 - 3

Therefore, the result is:

f(g(x)) = 1

So, the composition of f(x) and g(x), (f x g)(x), equals 1.