Under which conditions does the commutative property apply to compositions of f(x) and g(x)? A) when f(g(x)) and g(f(x) are inverse functions
B) when f(g(x)) and g(f(x) are equal for at least one value of x
C) when f(g(x)) and g(f(x) are equal for all values of x
D) when f(g(x)) and g(f(x) are not inverse functions

The correct option is;

C) When f(g(x)) and g(f(x)) are equal for all values of x

Step-by-step explanation:

To have commutative property is to have the property to move around or change position, as such the commutative property is the property concerns the changing of the positioning of items

The commutative property for addition is a + b = b + a while the commutative property for multiplication is a×b = b×a

For functions , the commutative property can therefore, be expressed as follows;

Commutative property of f(x) and g(x) gives f(g(x)) = g(f(x)) for all values of x.

a

b

d

step-by-step explanation: