If f and g are functions, then (fog)(x) is always equal to (gof)(x)

true or false

The given statement is False

The following information should be considered:

based on the above calculations we can see that equation (1) and equation (2) are not equal to each other.

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False

Step-by-step explanation:

Here is a counter example:

● f(x) = x^2

● g(x) = 3x

● (f○g)(x) = (3x)^2 = 9x^2 (1)

● (g○f)(x) = 3(x^2) = 3x^2 (2)

We can see that (1) and (2) aren't equal to each others.