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avatar+814 

For integers \(n\), let \(f(n) = \left\{ \begin{array}{cl} n^2 & \text{ if }n\text{ is odd}, \\ n^2 - 4n - 1 & \text{ if }n\text{ is even}. \end{array} \right.\)Find \(f(f(f(f(f(4)))))\) .

 

Is the answer 1, since 1^2 repeats?

 Dec 27, 2018
 #1
avatar+103131 
+2

f(4)  =  -1

f ( f (4) ) = f (-1)  =  1

f ( f ( f (4) ) ) = f (1) =  1

f ( f ( f ( f (4) ) ) )  =  f(1)  =  1

f ( f ( f ( f ( f (4) ) ) ) )  =  f (1)  = 1

 

Correct, mathtoo...!!!!

 

cool cool cool

 Dec 27, 2018
 #2
avatar+814 
+1

Thank you, CPhill!

mathtoo  Dec 27, 2018

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