Eventually become
F (100) = f (f (f ... f (2015))) can enter the above piecewise function. This can be counted as ***384 F.
Then observe the trend:
F(20 15)=20 12 A layer of F has been removed. - 1
F(20 12)=2009 Remove a layer of F. -2.
F(2009)=f(f(20 14)) plus a layer of F.-1
F (2014) = 2011A layer of F has been removed. -2
F (2011) = f (f (2016)) plus a layer of F.-1
F(20 16)=20 13 A layer of F has been removed. -2
F(20 13)=20 10 Remove a layer of F. -3.
F(20 10)=f(f(20 15)) plus a layer of F. -2.
F(20 15)=20 12 enters the cycle.
You can see. After removing the two layers of f, the independent variable is still 20 15. But pay attention to the critical value of -3.
So we can know that the original f (100) =1... = f (f (2015)) = f (2012) = 2009.
If I do it, choose B.
I'm glad to answer your question. I hope I can help you. The basic education team wishes you progress in your study!
Ask if you don't understand, and adopt if you understand!