Givenfandgare both continuous functions, show that max{f,g} and min{f,g} are also continuous.

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- May 1st 2008, 11:55 PMCoda202Continuous functions
Given

*f*and*g*are both continuous functions, show that max{*f*,*g*} and min{*f*,*g*} are also continuous. - May 2nd 2008, 12:18 AMflyingsquirrel
Hi

Hint : $\displaystyle \max(f,g)=\frac{f+g+|f-g|}{2}$ and $\displaystyle \min(f,g)=\frac{f+g-|f-g|}{2}$