Answer:
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.
The given statement is False
The following information should be considered:
[tex]f(x) = x^2\\\\g(x) = 3x\\\\(fog)(x) = (3x)^2 = 9x^2 (1)\\\\(gof)(x) = 3(x^2) = 3x^2 (2)[/tex]
based on the above calculations we can see that equation (1) and equation (2) are not equal to each other.
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