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?