Question

sa se determine domeniul maxim de definitie al functiei f:D->R, f(x)=lg(2x-3)

Answer 1

D= {x∈ℝ| 2x - 3 > 0}

2x - 3 > 0 ⇒ 2x > 3 ⇒ x > 3/2 ⇒ D = (3/2,  ∞)

Answer 2

Domeniul maxim se refera la conditiile de existenta.

C.E $2x-3$$\ \textgreater \ 0=\ \textgreater$$=\ \textgreater \ 2x\ \textgreater \ 3=\ \textgreater \ x\ \textgreater \ \frac{3}{2}$, unde x apartine intervalului (3/2, plus infinit)