Suppose r(x) and t(x) are two functions with the same domain, and let
h(x)=r(x)+t(x).
suppose also that each of the 3 functions r, tand h, has a maximum value
in this domain (i.e. a value that is greater than or equal to all the other
values of the function).
let m = the maximum value of r(x),
n = the maximum value of t(x), and
p = the maximum value of h(x).
how might the following always be true that m+n=p?