# Math Help - Help with "vee" proof?

1. ## Help with "vee" proof?

I'm not even sure what the technical name is for this function, so I couldn't search for any previous posts about it.

Anyway, I have to prove that $(f \vee g)(x) = (1/2)*(f+g)(x) + (1/2)*|(f-g)(x)|$

Any help on this? I don't really even know how to begin this...

2. Originally Posted by paupsers
I'm not even sure what the technical name is for this function, so I couldn't search for any previous posts about it.

Anyway, I have to prove that $(f \vee g)(x) = (1/2)*(f+g)(x) + (1/2)*|(f-g)(x)|$

Any help on this? I don't really even know how to begin this...
This 'vee' function is just evaluates both functions f and g at the point x and tells you which is greater. Also known as a max function.

For help with the proof first note that |a-b| = max(a,b) - min(a,b).

Good luck.