Question

this is an example of \\(f(g(x)) \
eq g(f(x))\\). this is because function composition is not dropdown menu.

Explanation:

⚡ Using what you learned: Evaluating Composite Functions

Step 1: Analyze the statement

The statement points out that \( f(g(x))
eq g(f(x)) \). This shows that changing the order of the functions in a composition generally changes the resulting output function.

Step 2: Identify the algebraic property

An operation where changing the order of the operands changes the result is not commutative.

For example, addition is commutative because \( a + b = b + a \), but function composition is not commutative because \( f(g(x)) \) is generally not equal to \( g(f(x)) \).

Answer:

commutative