Question

Fie expresia E (x) = $\frac{2x³+2}{x²+6x+9}$ : $\frac{x²-x+1}{x+3}$
a) Afla DVA al expresiei E(x).
b) Aduceti expresia la forma cea mai simpla.
c)Calculeaza  E (1/2)

Answer 1

b) $\frac{ 2x^{3}+2 }{ x^{2}+6x+9}: \frac{ x^{2}-x+1 }{x+3}= \frac{2( x^{3}+1) }     {(x+3)^{2}}* \frac{x+3}{ x^{2}-x+1}= \frac{2(x+1)( x^{2}-x+1) }{x+3}* \frac{1}{ x^{2}-x+1}= \frac{2x+2}{x+3}$
c)$E(\frac{1}{2})= \frac{2* \frac{1}{2}+2 }{ \frac{1}{2}+3}= \frac{3}{ \frac{7}{2}}= \frac{6}{7}$