f(x) g(x) ,
(a;b).
f(x)-g(x)=const)
. (..) f(x) g(x), :
1) f(x) g(x) [a;b];
2) f(x) g(x)
(a;b);
3) .
a b , : - .
. , , .. g(a)≠g(b). , , g(a)=g(b), g(x) . ,
=0. , ..
.
F(x)=f(x)-f(a)- , , 1) [a;b], .. f(x) g(x) [a;b];
2) (a;b),... (a;b)
;
3) F()=f()-f(a)- =0=F(b)=f(b)-f(a)-
=0
, Î(a;b): , ..
Þ
...
1. g(x)=x, xÎ[a,b].
2. , , a<b, , a>b