Can I say:
$$\sup |f(x)-h(x)+g(x)-g(x)| = \sup|f(x)-g(x)|+ \sup|g(x)-h(x)|$$
I can't seem to find any properties of $\sup$ , so i am wondering if there is any properties that we can generalize to sup of some functions restricted on domain $x \in [0,1]$ for example
@Saad Then prioritize and post only at most a dozen in each of close/delete categories per day. You can post others another day. Try to leave room for others' priorities, too.
@Saad It is frustrating for all of us who do our share of "janitorial work": there is usually more posted everyday that needs closure and/or deletion than can currently be addressed by dedicated janitors. :-(
If you have not yet done so today, please consider wading through the Close Queue. It is currently over 400, and needs some pruning. Votes reset in a few hours.
Can I say:
$$\sup |f(x)-h(x)+g(x)-g(x)| = \sup|f(x)-g(x)|+ \sup|g(x)-h(x)|$$
I can't seem to find any properties of $\sup$ , so i am wondering if there is any properties that we can generalize to sup of some functions restricted on domain $x \in [0,1]$ for example
