Question

aflati a si b nr reale a.i. f:R-->R,f(x)=ax+b verifica relatia 3f(x)+2f(1-x)=2x+9

Answer 1

3(ax+b)+2[a(1-x) +b]=2x+9
3ax+3b+2a-2ax+2b=2x+9
ax+5b+2a=2x+9
a=2
5b+2a=9
5b+4=9
5b=5
b=1
f(x)=2x+1