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

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 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 be true the M+N=P?

Prove the relationship does exist between the numbers M+N and P.

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