Discuss about a composite function


Discussion:

Q: Let f(x,y) be a real valued continuous function defined on the unit square [0,1] X [0,1].

Prove g(x)=max{f(x,y) : y in [0,1]} is continuous.

Can we treat g(x) as a composite function that maps R^2 --> R ?

 

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Mathematics: Discuss about a composite function
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