Question

Find (f.g)(x) for the given functions: f(x) = 32, g(x) = 2. Assume x = 20.

A. (f.g)(x) = 32x
B. (f.g)(x) = 34x
C. (f.g)(x) = 8/x
D. (f.g)(x) = 8x

Answer 1

To find (f.g)(x) when f(x) = 32 and g(x) = 2, multiply the functions together to get 64. This result is a constant and does not depend on x; thus the correct answer is 64, which is not one of the provided options.

Step-by-step explanation:

To find the function (f.g)(x), we need to multiply the two given functions, f(x) and g(x). Given f(x) = 32 and g(x) = 2, we find that:

(f.g)(x) = f(x) × g(x) = 32 × 2 = 64.

Since no variable x is involved in the functions given (both are constant functions), the multiplication result is also a constant and does not depend on the value of x.

Therefore, the correct answer is not listed among the options provided. None of A, B, C, or D is correct, as (f.g)(x) should simply be 64 for any value of x, including x = 20.