Question

Help pls!! f:R-->R f(x-3)=2x-4-f(2)
det. functia f(x)=?

Answer 1

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