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