Final answer:
The function f(x) is of higher order than g(x).
Step-by-step explanation:
The function f(x) is given by f(x) = 22 + 3x + 5, and the function g(x) is given by g(x) = 2. Let's analyze the different statements:
A. (f(x)) and (g(x)) have the same order:
No, (f(x)) and (g(x)) do not have the same order. The order of a function is determined by the highest power of x present. In this case, f(x) is of first order (linear) while g(x) is of zeroth order (constant).
B. (f(x)) is of lower order than (g(x)):
No, (f(x)) is not of lower order than (g(x)). As explained above, f(x) is of first order while g(x) is of zeroth order.
Therefore, the correct statement is that (f(x)) is of higher order than (g(x)).