If it helps, you can define a function g(x) = (f °f)(x), then find the result of (f°g)(x).
You can simply find g(x) = 1 / (1/x), which is simply x.
Then find (f°g)(x) = 1 / (x) = 1/x
Therefore, (f°f°f)(x) = 1/x is simply 1/x.
Woojin L.
asked 09/16/21If it helps, you can define a function g(x) = (f °f)(x), then find the result of (f°g)(x).
You can simply find g(x) = 1 / (1/x), which is simply x.
Then find (f°g)(x) = 1 / (x) = 1/x
Therefore, (f°f°f)(x) = 1/x is simply 1/x.
Raphael K. answered 09/16/21
I genuinely love teaching Calculus and have for 10+ years.
1/(1/(1/x))
(f (f ( f(x))) = 1/ x
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