Fie functia f : R −→ R, definita prin f (x) = x + 1, ∀x ∈ R. Sa se rezolve ecuatia(f ◦ f )(x) = f 2(x).

Fie functia f : R −→ R, definita prin f (x) = x + 1, ∀x ∈ R. Sa se rezolve ecuatia(f ◦ f )(x) = f 2(x).

Fie functiile f, g : R −→ R, definite prin f (x) = x − 2, g(x) = 2 − x, ∀x ∈ R(a) Sa se calculeze (f ◦ g)(1)

2. Fie functiile f, g : R −→ R, definite prin f (x) = x − 2, g(x) = 2 − x, ∀x ∈ R(a) Sa se calculeze (f ◦ g)(1)(b) Sa se calculeze sum100∑k=1( (f ◦ g)(k) )2

Define f, g : R → R by f (x) = (x − 2)2 andg(x) =1 if x > 0,0 if x = 0,−1 if x < 0.Calculatelimx→2 g(f (x)) and g limx→2 f (x)

9. Let f be the function from R to R defined by f (x) = x2. Finda) f −1({1}) b) f −1({x | 0 < x < 1}) c) f −1({x | x > 4})