Question: 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, t and

Supposer(x)andt(x)are two functions with the same domain, and leth(x)=r(x)+t(x).

Suppose also that each of the 3 functionsr, tandh, 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).

LetM= the maximum value ofr(x),
N= the maximum value oft(x),and
P= the maximum value ofh(x).

How might the following always be true thatM+N=P?

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