Calculate max and Obtain the expression for max

Question

The maximum of two numbers x, y it is shown by max (x; y).  looks what max (x; y) = (x+y+|x-y|) / 2.

 

a) calculate max (-3; 4).

 

b) Obtain the expression for max (x; y; z).

Answer 1

a) not surprisingly, max(3; -4) comes out to be 4

 

b) max(x;y;z) = max(x;max(y;z))  which I will let you expand (if you wish).  [Typing would be too error-prone]