Marc H.

asked • 09/13/15

How to solve f(f(n)) ? This is NOT calculus.

I am trying to solve this
 
f(n) = n - 1         if n > 5
      = f(f(n+1))   if n < or = 5
 
What is the name of this kind of function ? f(f(n+1)). A function within another function?
 
f(1) = f(f(1+1)) = f(f(2))
f(2) = f(f(2+1)) = f(f(3))
f(3) = f(f(3+1)) = f(f(4))
f(4) = f(f(4+1)) = f(f(5))
f(5) = 5 - 1 = 4
f(6) = 6 - 1 = 5
f(7) = 7 - 1 = 6
 
I can only find the answer when n > 5. When n < or = 5, I can only see f(f(k)). How to find the answers for f(1),f(2),f(3) & f(4) ? Thank you.

1 Expert Answer

By:

Selam N. answered • 09/13/15

Tutor
5 (6)

Mathematics Teacher

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