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Let \(f(x)=x^2-2x\). What is the value of \(f(f(f(f(f(f(-1))))))\)?

 Mar 14, 2021
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We  are  taking  6 compositions

 

First one  (-1)^2  -2(-1)   =  3    put this result back into the  function and evaluate

 

Second one  (3)^2  - 2(3)  =  3

 

We can now see that  no matter  how many  compositions we take, the  answer will always  = 3

 

 

cool cool cool

 Mar 14, 2021

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