Question

Determinati f:R --> R, f(x+2) = -2x+3.
Determinati f(x). Va rog sa-mi aratati si rezolvarea.

Answer 1

f(x)  =ax+b
f(x+2) = a(x+2) +b
ax+2a+b = -2x+3
a=-2
2a+b=3⇒-4+b=3⇒ b=3+4=7
f(x) = -2x+7