1) sol ecuatiei: [1/x]=1/[x] , unde [a] – partea intreaga a lui a
2) Se considera functia f: R→R, f(x)=2*[x/2]+1 si se noteaza f2=f ο f,
, fn = fn-1ο f .
Sa se determine expresia lui fn
a) fn(x) =f(x) + n;
b) fn(x) =2^n*f(x);
c) fn(x) =2^n*f(x)+2^(n-1)+1
d) fn(x) =f(x);
e) fn(x) =f(x)+2n+1;
f) fn(x) = 2f(x)+1
Rezolvare