Question

Determinati a,b apartine lui R dava functia f:R-R,f(x)=ax plus b verificati conditile f(1)=1 si f(-3)=-7

Answer 1

f(x)=ax+b
f(1)=1=>a+b=1=>a=1-b
f(-3)=-7=>-3a+b=-7
-3(1-b)+b=-7
-3+3b+b=-7
-3+4b=-7
4b=-7+3
4b=-4
b=-1
a=-b+1
a=1+1
a=2