What Does F >= g Mean in a Function Definition?

[jamesb1]

Here's something which always manages to throw me in doubt.

When one defines a function f to be greater than or equal to (or strictly greater) some other function g,

So f >= g / f > g over some interval [a,b] simply speaking.

Does this mean that for any value x in [a,b] : f(x) >= g(x)?

OR

f(x) >= g(y) , for any x in [a,b] and for any y in [a,b] ?

Any insight will be highly appreciated, I'd like to clear this issue once and for all.

Thank you very much!

 

[micromass]

Does this mean that for any value x in [a,b] : f(x) >= g(x)?

This.

 

[jamesb1]

Thanks :)