Question

Are the compositions of f(x) = 1 and g(x) = 2 commutative? why or why not? they are commutative, because f(x) and g(x) are constant functions. they are commutative, because f(g(x)) and g(f(x) are constant functions. they are not commutative, because f(x) and g(x) are not equal. they are not commutative, because f(g(x)) and g(f(x) are not equal.

Answers

  1. Option 3 is correct. for f(x) = 1 and g(x) = 2 commutative, They are not commutative, because f(g(x)) and g(f(x) are not equal.

    How to know that the function is commutative

    For the particular composite function to have the commutative property, we are supposed to have a situation where
     f(g(x)) ≡ g(f(x))
    This is supposed to be for all values of x.
    But in this question, what we have is  f(x) = 1 and g(x) = 2. This shows that they are not commutative because they are not equal.
    Read more on commutative properties here
    #SPJ1

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