If $f,g$ are continuous at a , show that $h(x)=\max{f(x),g(x)}$ and $k(x)=min{f(x),g(x)}$, are also continuous at a (quick question)
If $f,g$ are continuous at $a$, show that $h(x)=\max\{f(x),g(x)\}$ and $k(x)=\min\{f(x),g(x)\}$ are also continuous at $a$