Sa se determine funcția f:R=> R f(x) ax+b stiind ca f(1)=3 si f(0)=2

f(1)=3 f(1)=a*1+b=3 a+b=3

f(0)=2 f(0)=a*0+b=2 b=2

a+2=3 a=1

f(x)= 1x+2

f(x)=x+2

Răspuns:

f(x) = x + 2

Rezolvare:

Fie f : [tex]{\displaystyle \mathbb {R} }[/tex] → [tex]{\displaystyle \mathbb {R} }[/tex], f(x) = ax + b

f(1) = 3,  f(0) = 2

f(1) = 3 ⇒ a + b = 3

f(0) = 2 ⇒ b = 2

a + b = 3

a + 2 = 3

⇒ a = 1

⇒ [tex]\bf\red{\boxed{f(x)=x+2}}\\[/tex]

___________________

Bonus Brainly oferit de @andyilye:

https://brainly.ro/tema/11004752

Succes! ❀

Echipa BrainlyRO