Steph, let's recall that composite function is a function that depends on another function. A composite function is created when one function is substituted into another function.
Given f(x) = x +3, g(x) = x - 3
• f (g(x)) = f (x - 3)
,
• (x - 3) + 3
,
• x - 3 + 3
,
• x
• g (f(x)) = g (x + 3)
,
• (x + 3) - 3
,
• x + 3 - 3
,
• x
For the given functions, f (g(x)) = g (f(x))
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