Question

Sa se traseze graficul functiei f : R - R, f(x) = mx+n, stiind ca f(-1) = -4 si (f o f)(-1)=-5

Answer 1

f(-1)=-m+n=-4, n=m-4 f0f=f(f)=m(mx+n)+n=mpatratx+mn+n=mpatratx+m(m-4)+m-4= mpatratx+mpatrat-4m+m-4 (fof)(-1)=-mpatrat+matrat-3m-4=-5 -3m=-1, m=1/3, n=1/3-4=-11/3 f(x)=x/3-11/3 graf intersectat cu Ox, x/3-11/3=0, x=11 A(11, 0) graf intersectat u Oy, x=0, y=-11/3 B(0, -11/3)