Question

Dau 100 puncte
Fie expresia:
Expresia se afla in poza
a)Determinati valorile lui x pentru care E(x) are sens.
b)Aduceti expresia la forma cea mai simpla.
Urgent va rooooooooooooog mult!!!!

Answer 1

Amplific a doua fractie cu -1 si am:

$E(x)=\left(\dfrac{4}{x-1}+\dfrac{5x-13}{(x-1)(x+1)}-\dfrac{2(x+3)}{(x+1)(x+3)}\right)\cdot(x+1)=$

$=\dfrac{4x+4+5x-13-2x-2}{(x-1)(x+1)}\cdot(x+1)=\dfrac{7x-7}{x-1}=\dfrac{7(x-1)}{(x-1)}=7$