Question

F(x) = 6, g(x) = 24.1. Find (f.g)(2). Assume x20.

A. (f.g)(x) = 30x
B. (f.g)(x) = 127
C. (f.g)(x) = 12x
D. (f.g)(x) = 72.x

Answer 1

The composition of the functions f(x) = 6 and g(x) = 24.1 is always 6, independent of the input x. Options A through D are incorrect since they suggest an x-dependency.

Step-by-step explanation:

The student's question involves finding the value of the composition of two functions, f(x) = 6 and g(x) = 24.1, evaluated at x = 2. In mathematics, the composition of two functions (f.g)(x) means you first apply g to x and then apply f to the output of g(x). However, since f(x) always returns 6 regardless of the input, (f.g)(x) is equivalent to f(g(x)) = f(24.1) = 6. Therefore, regardless of the value of x, including at x = 2, the result of (f.g)(x) is always 6. None of the provided options A through D correctly represents the result of (f.g)(2), as they all suggest a dependency on x, which does not exist in this case, so the question seems to contain a mistake.