Please help me with this one.

Problem 2 The fact that one can replace any maximization problem with a minimization problem means that we only need to consider minimization problems in general. This is called the reflection principle because f (x) reflects f (x) across the x axis. Because of the reflection principle, when we talk about optimization programs in this course, we will almost exclusively be discussing minimization programs. This also illustrates how it sometimes helps to modify a function f to find a solution to a program. For two programs (P1): minf(x) subject to x E X and (P2) : ming(x) subject to x E X, whenever it holds that x\" solves P1 if and only x\" solves P2, we say that the programs P1 and P2 are equivalent. We also say that these programs are equivalent if this statement holds, but either of the min's are replaced with max's. For example, this means that max f (x) and min f (x) are equivalent programs by the reflection principle. Part A For this part, show that for any monotonically decreasing or order-reversing function h : [R > [R (h(x) [R (h(x)