Question

Se considera functia liniara f: R-->R, unde f(x)=(radical din 2 -1)*x + radical din 2.Sa se afle numarul real "a", astfel incat A(a,1)E(apartine) Gf

Answer 1

daca A(a,1) ∈ Gf⇒ f(a)=1
f(a) = (√2-1)a+√2
⇒ (√2-1)a +√2 =1 ⇒(√2-1)a  =1 -√2⇒ a= - (√2-1) : (√2-1)
a = -1