f: R → R, f(x) = x2 + 3x + 5 ise f(x + 1) aşağıdakilerden hangisidir?
A) x2 + 5x + 10 B) x2 + 6x + 9
C) x2 + 5x + 9 D) x2 + 5x + 8
E) x2 + 5x + 5 5​


Sagot :

Cevap:

[tex]f(x + 1) = {(x + 1)}^{2} + 3(x + 1) + 5 \\ = {x}^{2} + 2x + 1 + 3x + 3 + 5 \\ = {x}^{2} + 5x + 9[/tex]