Question

Demonstrati ca functia f:(0,∞)→(1,∞), f(x)=x²+1 este inversabila si determinati inversa sa.

Answer 1

Răspuns:

Salut

f(x)=y

x²+1=y→x²=y-1→x=±√(y-1)→x>0→x=√(y-1)

f^-1(x)=√(x-1)

f^-1(x):(1;+∞)→(0;+∞)

==evergreen==