Question

f(x)=1-x calculati f compus cu f (2)

Answer 1

fof(x)=f(f(x))
fof(2)=f(f(2))    f(2)=1-2=-1
f(-1)=1-(-1))=1+1=2

Answer 2

f(f(x))=f(1-x)=1-(1-x)=1-1+x=x


f(x) =x , ,  functia identica;

deci f(f(2))=2



Extra
in cazul functiei f(x)=1-x
se poate generaliza sidemonstra ca
f°f°...°f  (de 2k ori) =x
si f°f°...°f(de 2k+1 ori)=f(x) =1-x

adica de ex f°f (2017)=2017
iar f°f°f(2017)=1-2017=-2016