Plx helpa) Let f :[a,b] --> [a,b] be continuous on [a,b]. Prove that f has a fixed point, i.e., prove that (exist) c in [a,b] such that f(c)=c

b) let f,g : [a,b]->[a,b] be two continuous function on [a,b] such that f(a)>or equal g(a) and f(b)<or equal g(a).

Prove that exist c in [a,b] such that f(c) =g(c)