Question

Which of the following is a true statement about functions?

O A. If A and B are matrices, then AB = BA.
B. If fand g are functions, then (f+g)(x) = (8+)(x).
C. If fand g are functions, then (fºg)() = (8 ©f(x).
O D. If fis a function, then Ma+h) =f(a)+fh).

Answer 1

The true statement about functions among the provided options is that the composition of two functions f and g, denoted as (f◦g)(x), is equal to f(g(x)).

Step-by-step explanation:

The student's question is related to the properties of functions and operations on functions. Among the given choices, the true statement about functions is:

C. If f and g are functions, then (f◦g)(x) = f(g(x)).

This is known as the composition of functions, where you first apply the function g to x, and then apply the function f to the result. It is important to note that the composition of functions is not commutative, meaning (f◦g)(x) does not necessarily equal (g◦f)(x) unless f and g have specific properties that allow for commutativity.