Question

Is function composition commutative __________?

Options:
A) Always
B) Sometimes
C) Never
D) Depends on the functions

Answer 1

Function composition is not commutative. The order in which the functions are composed affects the result.

Step-by-step explanation:

Function composition is the process of applying one function to the output of another function. The order in which the functions are composed does matter. In general, function composition is not commutative, which means that the order of composition affects the result.

For example, let's consider two functions: f(x) = 2x and g(x) = x + 3. If we compose them in the order f(g(x)), we get f(g(x)) = 2(x + 3) = 2x + 6. However, if we compose them in the order g(f(x)), we get g(f(x)) = f(x) + 3 = 2x + 3.

Therefore, the answer to the question is Option C) Never, function composition is not commutative.