Question

F(x) = x +4

g(x) = 3.02 – 7
Find (f .g)(x).
A. (fºg)(x) = 3.23 – 28
B. (f.g)(x) = 3r3 + 12x273 – 28
C. (f.g)(x) = 3.2% + 12x2 + 7x + 28
D. (fºg)(x) = 3x3 + 28

Answer 1

The correct composition of the functions f(x) and g(x) is (f.g)(x) = x - 15.92, but this does not match any of the options given in the question, indicating a potential problem with the provided information.

Step-by-step explanation:

The composition of two functions f(x) and g(x) is found by applying g first and then f. Since g(x) = 3.02 - 7 simplifies to g(x) = -3.98, we can substitute this into f to get (f ∙ g)(x) = x + 4(-3.98). The composition (f.g)(x) therefore is (f.g)(x) = x - 15.92, which unfortunately does not match any of the provided options. It's possible that there might be an issue with the given functions or the options provided.