this is a problem from a sample test in my "Introduction to Real Analysis" class. i don't know how to even start thinking about this one. any hints?(adsbygoogle = window.adsbygoogle || []).push({});

Let f, g : R ! R be continuous at c, and let h(x) = max{f(x), g(x)}.

(a) Show that h(x) = (1/2) (f(x) + g(x)) + (1/2) |f(x) − g(x)| for all x in R.

(b) Show that h(x) is continuous at c.

thanks to all posters

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# Homework Help: How would you do this proof?

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