Răspuns:
Explicație pas cu pas:
f(x)=x-2 g(x)=2x-4 h(x)=-3x+2
a)f(3)-g(2)+h(1)=1-0-1=0
b)g(0)=-4 A(0,-4)
0=2x-4 ⇒x=2 B(2,0)
c)A(m,-1)∈f m-2=1 ⇒m=3
A(m,-1)∈h -3m+2=-1 -3m=-3 ⇒m=1
d) f strict crescatoare a>0 la f a>1
h strict descrescatoare a<o -3<0
e) 2f(x)≤2-h(x)
2(x-2)≤2-(-3x+2) 2x-4≤2+3x-2 ⇒ -4≤x ⇒ x≥-4
f)(h°f)(x)=-1 h(f(x))-=1 h(f(x))=-3(x-2)+2=-3x+6+2=-3x+8
-3x+8=-1 -3x=-9 x=3
