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ex 14 va rog multt e urgeeentt

Ex 14 Va Rog Multt E Urgeeentt class=

Răspuns :

E(x) = (x² + x² - 8x + 16 -x²+ 4x)/[x(x-4)] · 2x/(x² - 4x + 16)
a)  E(x) = (x² -4x + 16)/[x(x-4)] ·2x/(x² - 4x + 16) = 2/(x-4)
b)
2/(x-4) > 0 daca, x - 4 >0  x > 4   x ∈(4, +∞)
c) 2/(a-4) ∈ Z  ⇒ (a-2) ∈ D2    (a-2)∈{-2,-1,1,2}  a ∈ {0,1,3,4}